TY  - JOUR
AU  - Shukrinov, Yu. M.
AU  - Kovalenko, E.
AU  - Tekić, Jasmina
AU  - Kulikov, K.
AU  - Nashaat, M.
PY  - 2024
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/12724
AB  - The unique resonance and locking phenomena in the superconductor-ferromagnet-superconductor φ0 Josephson junction under external electromagnetic radiation are demonstrated when not just the electric but also the magnetic component of external radiation is taken into account. Due to the coupling of superconductivity and magnetism in this system, the magnetic moment precession of the ferromagnetic layer caused by the magnetic component of external radiation can lock the Josephson oscillations, which results in the appearance of a particular type of step in the current-voltage characteristics, completely different from the well-known Shapiro steps. We call these steps the Buzdin steps in the case when the system is driven only by the magnetic component and the chimera steps in the case when both magnetic and electric components are present. Unlike the Shapiro steps where the magnetic moment remains constant along the step, here it changes though the system is locked. The spin-orbit coupling substantially contributes to the amplitude, i.e., the size of these steps. Dramatic changes in their amplitudes are also observed at frequencies near the ferromagnetic resonance. Combinations of the Josephson and Kittel ferromagnetic resonances together with different types of locking pronounced in dynamics and current-voltage characteristics make the physics of this system very interesting and open up a series of new applications.
T2  - Physical Review B
T1  - Buzdin, Shapiro, and chimera steps in                                                                  φ                        0                                                              Josephson junctions
VL  - 109
IS  - 2
SP  - 024511
DO  - 10.1103/PhysRevB.109.024511
ER  - 

@article{
author = "Shukrinov, Yu. M. and Kovalenko, E. and Tekić, Jasmina and Kulikov, K. and Nashaat, M.",
year = "2024",
abstract = "The unique resonance and locking phenomena in the superconductor-ferromagnet-superconductor φ0 Josephson junction under external electromagnetic radiation are demonstrated when not just the electric but also the magnetic component of external radiation is taken into account. Due to the coupling of superconductivity and magnetism in this system, the magnetic moment precession of the ferromagnetic layer caused by the magnetic component of external radiation can lock the Josephson oscillations, which results in the appearance of a particular type of step in the current-voltage characteristics, completely different from the well-known Shapiro steps. We call these steps the Buzdin steps in the case when the system is driven only by the magnetic component and the chimera steps in the case when both magnetic and electric components are present. Unlike the Shapiro steps where the magnetic moment remains constant along the step, here it changes though the system is locked. The spin-orbit coupling substantially contributes to the amplitude, i.e., the size of these steps. Dramatic changes in their amplitudes are also observed at frequencies near the ferromagnetic resonance. Combinations of the Josephson and Kittel ferromagnetic resonances together with different types of locking pronounced in dynamics and current-voltage characteristics make the physics of this system very interesting and open up a series of new applications.",
journal = "Physical Review B",
title = "Buzdin, Shapiro, and chimera steps in                                                                  φ                        0                                                              Josephson junctions",
volume = "109",
number = "2",
pages = "024511",
doi = "10.1103/PhysRevB.109.024511"
}

Shukrinov, Yu. M., Kovalenko, E., Tekić, J., Kulikov, K.,& Nashaat, M.. (2024). Buzdin, Shapiro, and chimera steps in                                                                  φ                        0                                                              Josephson junctions. in Physical Review B, 109(2), 024511.
https://doi.org/10.1103/PhysRevB.109.024511

Shukrinov YM, Kovalenko E, Tekić J, Kulikov K, Nashaat M. Buzdin, Shapiro, and chimera steps in                                                                  φ                        0                                                              Josephson junctions. in Physical Review B. 2024;109(2):024511.
doi:10.1103/PhysRevB.109.024511 .

Shukrinov, Yu. M., Kovalenko, E., Tekić, Jasmina, Kulikov, K., Nashaat, M., "Buzdin, Shapiro, and chimera steps in                                                                  φ                        0                                                              Josephson junctions" in Physical Review B, 109, no. 2 (2024):024511,
https://doi.org/10.1103/PhysRevB.109.024511 . .

TY  - JOUR
AU  - Mali, Petar
AU  - Radošević, Slobodan
AU  - Gombar, Sonja
AU  - Tekić, Jasmina
AU  - Pantić, Milan
AU  - Pavkov-Hrvojević, Milica
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/11214
AB  - Dynamics of the driven Frenkel-Kontorova model with asymmetric deformable substrate potential is examined by analyzing response function, the largest Lyapunov exponent, and Poincaré sections for two neighboring particles. The obtained results show that the largest Lyapunov exponent, besides being used for investigating integral quantities, can be used for detecting microchanges in chain configuration of both damped Frenkel-Kontorova model with inertial term and its strictly overdamped limit. Slight changes in relative positions of the particles are registered through jumps of the largest Lyapunov exponent in the pinning regime. The occurrence of such jumps is highly dependent on type of commensurate structure and deformation of substrate potential. The obtained results also show that the minimal force required to initiate collective motion of the chain is not dependent on the number of Lyapunov exponent jumps in the pinning regime. These jumps are also registered in the sliding regime, where they are a consequence of a more complex structure of largest Lyapunov exponent on the step. © 2023 American Physical Society.
T2  - Physical Review E
T1  - Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions
VL  - 107
IS  - 6
SP  - 064213
DO  - 10.1103/PhysRevE.107.064213
ER  - 

@article{
author = "Mali, Petar and Radošević, Slobodan and Gombar, Sonja and Tekić, Jasmina and Pantić, Milan and Pavkov-Hrvojević, Milica",
year = "2023",
abstract = "Dynamics of the driven Frenkel-Kontorova model with asymmetric deformable substrate potential is examined by analyzing response function, the largest Lyapunov exponent, and Poincaré sections for two neighboring particles. The obtained results show that the largest Lyapunov exponent, besides being used for investigating integral quantities, can be used for detecting microchanges in chain configuration of both damped Frenkel-Kontorova model with inertial term and its strictly overdamped limit. Slight changes in relative positions of the particles are registered through jumps of the largest Lyapunov exponent in the pinning regime. The occurrence of such jumps is highly dependent on type of commensurate structure and deformation of substrate potential. The obtained results also show that the minimal force required to initiate collective motion of the chain is not dependent on the number of Lyapunov exponent jumps in the pinning regime. These jumps are also registered in the sliding regime, where they are a consequence of a more complex structure of largest Lyapunov exponent on the step. © 2023 American Physical Society.",
journal = "Physical Review E",
title = "Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions",
volume = "107",
number = "6",
pages = "064213",
doi = "10.1103/PhysRevE.107.064213"
}

Mali, P., Radošević, S., Gombar, S., Tekić, J., Pantić, M.,& Pavkov-Hrvojević, M.. (2023). Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions. in Physical Review E, 107(6), 064213.
https://doi.org/10.1103/PhysRevE.107.064213

Mali P, Radošević S, Gombar S, Tekić J, Pantić M, Pavkov-Hrvojević M. Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions. in Physical Review E. 2023;107(6):064213.
doi:10.1103/PhysRevE.107.064213 .

Mali, Petar, Radošević, Slobodan, Gombar, Sonja, Tekić, Jasmina, Pantić, Milan, Pavkov-Hrvojević, Milica, "Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions" in Physical Review E, 107, no. 6 (2023):064213,
https://doi.org/10.1103/PhysRevE.107.064213 . .

TY  - JOUR
AU  - Botha, Andre E.
AU  - Shukrinov, Yury M.
AU  - Tekić, Jasmina
AU  - Kolahchi, Mohammad R.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10691
AB  - The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet-superconductor Josephson junction, known as the φ0 junction, the magnetic layer effectively provides two extra degrees of freedom that can facilitate chaotic dynamics in the resulting four-dimensional autonomous system. In this work, we use the Landau-Lifshitz-Gilbert model for the magnetic moment of the ferromagnetic weak link, while the Josephson junction is described by the resistively capacitively shunted-junction model. We study the chaotic dynamics of the system for parameters surrounding the ferromagnetic resonance region, i.e., for which the Josephson frequency is reasonably close to the ferromagnetic frequency. We show that, due to the conservation of magnetic moment magnitude, two of the numerically computed full spectrum Lyapunov characteristic exponents are trivially zero. One-parameter bifurcation diagrams are used to investigate various transitions that occur between quasiperiodic, chaotic, and regular regions as the dc-bias current through the junction, I, is varied. We also compute two-dimensional bifurcation diagrams, which are similar to traditional isospike diagrams, to display the different periodicities and synchronization properties in the I−G parameter space, where G is the ratio between the Josephson energy and the magnetic anisotropy energy. We find that as I is reduced the onset of chaos occurs shortly before the transition to the superconducting state. This onset of chaos is signaled by a rapid rise in supercurrent (IS⟶I) which corresponds, dynamically, to increasing anharmonicity in phase rotations of the junction.
T2  - Physical Review E
T1  - Chaotic dynamics from coupled magnetic monodomain and Josephson current
VL  - 107
IS  - 2
SP  - 024205
DO  - 10.1103/PhysRevE.107.024205
ER  - 

@article{
author = "Botha, Andre E. and Shukrinov, Yury M. and Tekić, Jasmina and Kolahchi, Mohammad R.",
year = "2023",
abstract = "The ordinary (superconductor-insulator-superconductor) Josephson junction cannot exhibit chaos in the absence of an external ac drive, whereas in the superconductor-ferromagnet-superconductor Josephson junction, known as the φ0 junction, the magnetic layer effectively provides two extra degrees of freedom that can facilitate chaotic dynamics in the resulting four-dimensional autonomous system. In this work, we use the Landau-Lifshitz-Gilbert model for the magnetic moment of the ferromagnetic weak link, while the Josephson junction is described by the resistively capacitively shunted-junction model. We study the chaotic dynamics of the system for parameters surrounding the ferromagnetic resonance region, i.e., for which the Josephson frequency is reasonably close to the ferromagnetic frequency. We show that, due to the conservation of magnetic moment magnitude, two of the numerically computed full spectrum Lyapunov characteristic exponents are trivially zero. One-parameter bifurcation diagrams are used to investigate various transitions that occur between quasiperiodic, chaotic, and regular regions as the dc-bias current through the junction, I, is varied. We also compute two-dimensional bifurcation diagrams, which are similar to traditional isospike diagrams, to display the different periodicities and synchronization properties in the I−G parameter space, where G is the ratio between the Josephson energy and the magnetic anisotropy energy. We find that as I is reduced the onset of chaos occurs shortly before the transition to the superconducting state. This onset of chaos is signaled by a rapid rise in supercurrent (IS⟶I) which corresponds, dynamically, to increasing anharmonicity in phase rotations of the junction.",
journal = "Physical Review E",
title = "Chaotic dynamics from coupled magnetic monodomain and Josephson current",
volume = "107",
number = "2",
pages = "024205",
doi = "10.1103/PhysRevE.107.024205"
}

Botha, A. E., Shukrinov, Y. M., Tekić, J.,& Kolahchi, M. R.. (2023). Chaotic dynamics from coupled magnetic monodomain and Josephson current. in Physical Review E, 107(2), 024205.
https://doi.org/10.1103/PhysRevE.107.024205

Botha AE, Shukrinov YM, Tekić J, Kolahchi MR. Chaotic dynamics from coupled magnetic monodomain and Josephson current. in Physical Review E. 2023;107(2):024205.
doi:10.1103/PhysRevE.107.024205 .

Botha, Andre E., Shukrinov, Yury M., Tekić, Jasmina, Kolahchi, Mohammad R., "Chaotic dynamics from coupled magnetic monodomain and Josephson current" in Physical Review E, 107, no. 2 (2023):024205,
https://doi.org/10.1103/PhysRevE.107.024205 . .

TY  - JOUR
AU  - Botha, André E.
AU  - Shukrinov, Yury M.
AU  - Tekić, Jasmina
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10157
AB  - The appearance of chaos along the “charged” resonance circuit branch of the current-voltage characteristics is examined in a model of intrinsic Josephson junctions shunted by resistive, inductive and capacitive circuit elements. Detailed numerical simulations of the electric charge density, current-voltage characteristics and various chaos indicators, such as Lyapunov exponents and Poincaré sections are performed over a wide range of relevant system parameters. In mapping the parameter space, several distinctly different regions are found: some completely regular, while others are dominated by chaos, where the rc-frequency determines the appearance and properties of those regions. At higher values of the rc-frequency chaos appears at first over relatively narrow regions at the lower-current end of the rc-branch. As the rc-frequency is lowered, the chaotic region at the lowered-current end of the rc-branch may becomes wider, depending sensitively on the combination of system parameters. Examination of the metric entropy and maximal Kaplan–Yorke dimension shows that the dimensions of the chaotic attractors associated with the chaos do not plateau, as in the overdamped case, but surprisingly increase indefinitely with the number of junctions, indicating that the system is capable of truly high-dimensional chaos. The onset of the chaos along the rc-branch is found to occur via a two-frequency quasi-periodic route. Our results provided a guide for specific parameter combinations that could minimize the chaos, thereby making certain applications potentially more viable.
T2  - Chaos, Solitons and Fractals
T1  - Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions
VL  - 156
SP  - 111865
DO  - 10.1016/j.chaos.2022.111865
ER  - 

@article{
author = "Botha, André E. and Shukrinov, Yury M. and Tekić, Jasmina",
year = "2022",
abstract = "The appearance of chaos along the “charged” resonance circuit branch of the current-voltage characteristics is examined in a model of intrinsic Josephson junctions shunted by resistive, inductive and capacitive circuit elements. Detailed numerical simulations of the electric charge density, current-voltage characteristics and various chaos indicators, such as Lyapunov exponents and Poincaré sections are performed over a wide range of relevant system parameters. In mapping the parameter space, several distinctly different regions are found: some completely regular, while others are dominated by chaos, where the rc-frequency determines the appearance and properties of those regions. At higher values of the rc-frequency chaos appears at first over relatively narrow regions at the lower-current end of the rc-branch. As the rc-frequency is lowered, the chaotic region at the lowered-current end of the rc-branch may becomes wider, depending sensitively on the combination of system parameters. Examination of the metric entropy and maximal Kaplan–Yorke dimension shows that the dimensions of the chaotic attractors associated with the chaos do not plateau, as in the overdamped case, but surprisingly increase indefinitely with the number of junctions, indicating that the system is capable of truly high-dimensional chaos. The onset of the chaos along the rc-branch is found to occur via a two-frequency quasi-periodic route. Our results provided a guide for specific parameter combinations that could minimize the chaos, thereby making certain applications potentially more viable.",
journal = "Chaos, Solitons and Fractals",
title = "Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions",
volume = "156",
pages = "111865",
doi = "10.1016/j.chaos.2022.111865"
}

Botha, A. E., Shukrinov, Y. M.,& Tekić, J.. (2022). Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions. in Chaos, Solitons and Fractals, 156, 111865.
https://doi.org/10.1016/j.chaos.2022.111865

Botha AE, Shukrinov YM, Tekić J. Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions. in Chaos, Solitons and Fractals. 2022;156:111865.
doi:10.1016/j.chaos.2022.111865 .

Botha, André E., Shukrinov, Yury M., Tekić, Jasmina, "Chaos along the rc-branch of RLC-shunted intrinsic Josephson junctions" in Chaos, Solitons and Fractals, 156 (2022):111865,
https://doi.org/10.1016/j.chaos.2022.111865 . .

TY  - CONF
AU  - Tekić, Jasmina
AU  - Botha, Andre
AU  - Mali, Petar
AU  - Shukrinov, Yuri M.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10113
AB  - The appearance of devil’s staircase and chaos have been studied in the dc+ac driven Frenkel-Kontorova model. In the overdamped limit, the devil’s staircase structure arising from the complete mode-locking of an entirely nonchaotic system was observed. Even though no chaos was found, a hierarchical ordering of the Shapiro steps was made possible through the use of a previously introduced continued fraction formula. When the inertial term is included, unlike in the overdamped case, the increase of mass led to the appearance of the whole series of subharmonic steps in the staircase of the average velocity as a function of average driving force in any commensurate structure. At certain values of parameters, the subharmonic steps became separated by chaotic windows while the whole structure retained scaling similar to the original staircase. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.
C3  - Springer Proceedings in Complexity
T1  - The AC Driven Frenkel-Kontorova Model: From Shapiro Steps to Chaos
SP  - 943
EP  - 951
DO  - 10.1007/978-3-030-70795-8_65
ER  - 

@conference{
author = "Tekić, Jasmina and Botha, Andre and Mali, Petar and Shukrinov, Yuri M.",
year = "2021",
abstract = "The appearance of devil’s staircase and chaos have been studied in the dc+ac driven Frenkel-Kontorova model. In the overdamped limit, the devil’s staircase structure arising from the complete mode-locking of an entirely nonchaotic system was observed. Even though no chaos was found, a hierarchical ordering of the Shapiro steps was made possible through the use of a previously introduced continued fraction formula. When the inertial term is included, unlike in the overdamped case, the increase of mass led to the appearance of the whole series of subharmonic steps in the staircase of the average velocity as a function of average driving force in any commensurate structure. At certain values of parameters, the subharmonic steps became separated by chaotic windows while the whole structure retained scaling similar to the original staircase. © 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
journal = "Springer Proceedings in Complexity",
title = "The AC Driven Frenkel-Kontorova Model: From Shapiro Steps to Chaos",
pages = "943-951",
doi = "10.1007/978-3-030-70795-8_65"
}

Tekić, J., Botha, A., Mali, P.,& Shukrinov, Y. M.. (2021). The AC Driven Frenkel-Kontorova Model: From Shapiro Steps to Chaos. in Springer Proceedings in Complexity, 943-951.
https://doi.org/10.1007/978-3-030-70795-8_65

Tekić J, Botha A, Mali P, Shukrinov YM. The AC Driven Frenkel-Kontorova Model: From Shapiro Steps to Chaos. in Springer Proceedings in Complexity. 2021;:943-951.
doi:10.1007/978-3-030-70795-8_65 .

Tekić, Jasmina, Botha, Andre, Mali, Petar, Shukrinov, Yuri M., "The AC Driven Frenkel-Kontorova Model: From Shapiro Steps to Chaos" in Springer Proceedings in Complexity (2021):943-951,
https://doi.org/10.1007/978-3-030-70795-8_65 . .

TY  - JOUR
AU  - Gombar, Sonja
AU  - Mali, Petar
AU  - Radošević, Slobodan
AU  - Tekić, Jasmina
AU  - Pantić, Milan
AU  - Pavkov-Hrvojević, Milica
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9518
AB  - The response function and largest Lyapunov exponent analysis were applied to the driven overdamped Frenkel-Kontorova model with two types of anharmonic convex interparticle potentials. In both cases model reduces to a single particle model for integer values of winding number. It is shown that the mirror image of the amplitude dependence of critical depinning force and largest Lyapunov exponent observed recently in the standard Frenkel-Kontorova model (Odavić et al 2017 Commun. Nonlinear Sci. Numer. Simul. 47, 100) is not retained generally. Behaviour of systems with relatively strong interparticle force was examined and evidence for the appearance of mode-locking phenomenon in both directions of particles’ motion is presented. © 2021 IOP Publishing Ltd.
T2  - Physica Scripta
T1  - Influence of anharmonic convex interparticle potential and Shapiro steps in the opposite direction of driving force
VL  - 96
IS  - 3
SP  - 035211
DO  - 10.1088/1402-4896/abd5ec
ER  - 

@article{
author = "Gombar, Sonja and Mali, Petar and Radošević, Slobodan and Tekić, Jasmina and Pantić, Milan and Pavkov-Hrvojević, Milica",
year = "2021",
abstract = "The response function and largest Lyapunov exponent analysis were applied to the driven overdamped Frenkel-Kontorova model with two types of anharmonic convex interparticle potentials. In both cases model reduces to a single particle model for integer values of winding number. It is shown that the mirror image of the amplitude dependence of critical depinning force and largest Lyapunov exponent observed recently in the standard Frenkel-Kontorova model (Odavić et al 2017 Commun. Nonlinear Sci. Numer. Simul. 47, 100) is not retained generally. Behaviour of systems with relatively strong interparticle force was examined and evidence for the appearance of mode-locking phenomenon in both directions of particles’ motion is presented. © 2021 IOP Publishing Ltd.",
journal = "Physica Scripta",
title = "Influence of anharmonic convex interparticle potential and Shapiro steps in the opposite direction of driving force",
volume = "96",
number = "3",
pages = "035211",
doi = "10.1088/1402-4896/abd5ec"
}

Gombar, S., Mali, P., Radošević, S., Tekić, J., Pantić, M.,& Pavkov-Hrvojević, M.. (2021). Influence of anharmonic convex interparticle potential and Shapiro steps in the opposite direction of driving force. in Physica Scripta, 96(3), 035211.
https://doi.org/10.1088/1402-4896/abd5ec

Gombar S, Mali P, Radošević S, Tekić J, Pantić M, Pavkov-Hrvojević M. Influence of anharmonic convex interparticle potential and Shapiro steps in the opposite direction of driving force. in Physica Scripta. 2021;96(3):035211.
doi:10.1088/1402-4896/abd5ec .

Gombar, Sonja, Mali, Petar, Radošević, Slobodan, Tekić, Jasmina, Pantić, Milan, Pavkov-Hrvojević, Milica, "Influence of anharmonic convex interparticle potential and Shapiro steps in the opposite direction of driving force" in Physica Scripta, 96, no. 3 (2021):035211,
https://doi.org/10.1088/1402-4896/abd5ec . .

TY  - JOUR
AU  - Rahmonov, Ilhom R.
AU  - Tekić, Jasmina
AU  - Mali, Petar
AU  - Irie, Akinobu
AU  - Shukrinov, Yury M.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8809
AB  - Examination of an annular system of underdamped Josephson junctions in the presence of external radiation showed that the ability of the system to lock with some external radiation was determined not only by the number but also by the type of rotating excitations (fluxons or antifluxons). Shapiro steps can be observed in the current-voltage characteristic only in the system with trapped fluxons or in the system with fluxon-antifluxon pairs. If the trapped fluxons circulate simultaneously with fluxon-antifluxon pairs, there are no Shapiro steps regardless of the amplitude or frequency of the applied external radiation. © 2020 American Physical Society.
T2  - Physical Review B
T1  - Ac-driven annular Josephson junctions: The missing Shapiro steps
VL  - 101
IS  - 2
SP  - 024512
DO  - 10.1103/PhysRevB.101.024512
ER  - 

@article{
author = "Rahmonov, Ilhom R. and Tekić, Jasmina and Mali, Petar and Irie, Akinobu and Shukrinov, Yury M.",
year = "2020",
abstract = "Examination of an annular system of underdamped Josephson junctions in the presence of external radiation showed that the ability of the system to lock with some external radiation was determined not only by the number but also by the type of rotating excitations (fluxons or antifluxons). Shapiro steps can be observed in the current-voltage characteristic only in the system with trapped fluxons or in the system with fluxon-antifluxon pairs. If the trapped fluxons circulate simultaneously with fluxon-antifluxon pairs, there are no Shapiro steps regardless of the amplitude or frequency of the applied external radiation. © 2020 American Physical Society.",
journal = "Physical Review B",
title = "Ac-driven annular Josephson junctions: The missing Shapiro steps",
volume = "101",
number = "2",
pages = "024512",
doi = "10.1103/PhysRevB.101.024512"
}

Rahmonov, I. R., Tekić, J., Mali, P., Irie, A.,& Shukrinov, Y. M.. (2020). Ac-driven annular Josephson junctions: The missing Shapiro steps. in Physical Review B, 101(2), 024512.
https://doi.org/10.1103/PhysRevB.101.024512

Rahmonov IR, Tekić J, Mali P, Irie A, Shukrinov YM. Ac-driven annular Josephson junctions: The missing Shapiro steps. in Physical Review B. 2020;101(2):024512.
doi:10.1103/PhysRevB.101.024512 .

Rahmonov, Ilhom R., Tekić, Jasmina, Mali, Petar, Irie, Akinobu, Shukrinov, Yury M., "Ac-driven annular Josephson junctions: The missing Shapiro steps" in Physical Review B, 101, no. 2 (2020):024512,
https://doi.org/10.1103/PhysRevB.101.024512 . .

TY  - JOUR
AU  - Jia, Li-Ping
AU  - Tekić, Jasmina
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8911
AB  - A chain of harmonically interacting particles confined between two sinusoidal substrate potentials has been analysed. When the top substrate is driven through an attached spring with a constant velocity, the influence of the system parameters on the kinetic friction force was examined in the system with commensurate substrates. It was shown that the friction reached its maximum value when the equilibrium distance of the intermediate particles was an integer multiple of the space period of the upper and lower substrate potentials, which led to the maximum energy loss. This loss can be reduced by the increase of interparticle interaction of the middle layer.
T2  - Physica Scripta
T1  - Kinetic friction force in a three-layer model with commensurate substrates
VL  - 95
IS  - 5
SP  - 055212
DO  - 10.1088/1402-4896/ab7654
ER  - 

@article{
author = "Jia, Li-Ping and Tekić, Jasmina",
year = "2020",
abstract = "A chain of harmonically interacting particles confined between two sinusoidal substrate potentials has been analysed. When the top substrate is driven through an attached spring with a constant velocity, the influence of the system parameters on the kinetic friction force was examined in the system with commensurate substrates. It was shown that the friction reached its maximum value when the equilibrium distance of the intermediate particles was an integer multiple of the space period of the upper and lower substrate potentials, which led to the maximum energy loss. This loss can be reduced by the increase of interparticle interaction of the middle layer.",
journal = "Physica Scripta",
title = "Kinetic friction force in a three-layer model with commensurate substrates",
volume = "95",
number = "5",
pages = "055212",
doi = "10.1088/1402-4896/ab7654"
}

Jia, L.,& Tekić, J.. (2020). Kinetic friction force in a three-layer model with commensurate substrates. in Physica Scripta, 95(5), 055212.
https://doi.org/10.1088/1402-4896/ab7654

Jia L, Tekić J. Kinetic friction force in a three-layer model with commensurate substrates. in Physica Scripta. 2020;95(5):055212.
doi:10.1088/1402-4896/ab7654 .

Jia, Li-Ping, Tekić, Jasmina, "Kinetic friction force in a three-layer model with commensurate substrates" in Physica Scripta, 95, no. 5 (2020):055212,
https://doi.org/10.1088/1402-4896/ab7654 . .

TY  - JOUR
AU  - Rahmonov, Ilhom R.
AU  - Tekić, Jasmina
AU  - Mali, Petar
AU  - Irie, Akinobu
AU  - Plecenik, Anrej
AU  - Shukrinov, Yu. M.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9634
AB  - The appearance and origin of resonance phenomena are studied in an annular system of underdamped Josephson junctions. If no fluxon is trapped in the system, the dynamics is governed by the motion of fluxon-antifluxon pairs. If, on the other hand, trapped fluxons are present, in addition to their motion, the system can also exhibit the simultaneous motion of trapped fluxons and fluxon-antifluxon pairs. Locking between the rotating excitations (fluxons and antifluxons) and the Josephson frequency leads to the appearance of zero-field steps in the current-voltage characteristics, whose number is determined by the number of junctions and the total number of excitations present in the system. The obtained results clearly show that the branching of zero-field steps due to resonance between the rotating excitations and plasma oscillations in their tails appears only at the lower steps and completely disappears at the higher steps. A comparative analysis between systems without and those with trapped fluxons shows a correlation between their current-voltage characteristics. From a high-resolution analysis some special features of zero-field steps emerge such as an additional branch due to resonance between the pulsating fluxon and the Josephson frequency. Examination of systems with the same number but different types of excitations further reveals that their dynamics is determined not only by the number, but also by the type of excitations, i.e., systems with the same number but different types of excitations have different current-voltage characteristics. © 2020 American Physical Society.
T2  - Physical Review B
T1  - Resonance phenomena in an annular array of underdamped Josephson junctions
VL  - 101
IS  - 17
DO  - 10.1103/PHYSREVB.101.174515
ER  - 

@article{
author = "Rahmonov, Ilhom R. and Tekić, Jasmina and Mali, Petar and Irie, Akinobu and Plecenik, Anrej and Shukrinov, Yu. M.",
year = "2020",
abstract = "The appearance and origin of resonance phenomena are studied in an annular system of underdamped Josephson junctions. If no fluxon is trapped in the system, the dynamics is governed by the motion of fluxon-antifluxon pairs. If, on the other hand, trapped fluxons are present, in addition to their motion, the system can also exhibit the simultaneous motion of trapped fluxons and fluxon-antifluxon pairs. Locking between the rotating excitations (fluxons and antifluxons) and the Josephson frequency leads to the appearance of zero-field steps in the current-voltage characteristics, whose number is determined by the number of junctions and the total number of excitations present in the system. The obtained results clearly show that the branching of zero-field steps due to resonance between the rotating excitations and plasma oscillations in their tails appears only at the lower steps and completely disappears at the higher steps. A comparative analysis between systems without and those with trapped fluxons shows a correlation between their current-voltage characteristics. From a high-resolution analysis some special features of zero-field steps emerge such as an additional branch due to resonance between the pulsating fluxon and the Josephson frequency. Examination of systems with the same number but different types of excitations further reveals that their dynamics is determined not only by the number, but also by the type of excitations, i.e., systems with the same number but different types of excitations have different current-voltage characteristics. © 2020 American Physical Society.",
journal = "Physical Review B",
title = "Resonance phenomena in an annular array of underdamped Josephson junctions",
volume = "101",
number = "17",
doi = "10.1103/PHYSREVB.101.174515"
}

Rahmonov, I. R., Tekić, J., Mali, P., Irie, A., Plecenik, A.,& Shukrinov, Yu. M.. (2020). Resonance phenomena in an annular array of underdamped Josephson junctions. in Physical Review B, 101(17).
https://doi.org/10.1103/PHYSREVB.101.174515

Rahmonov IR, Tekić J, Mali P, Irie A, Plecenik A, Shukrinov YM. Resonance phenomena in an annular array of underdamped Josephson junctions. in Physical Review B. 2020;101(17).
doi:10.1103/PHYSREVB.101.174515 .

Rahmonov, Ilhom R., Tekić, Jasmina, Mali, Petar, Irie, Akinobu, Plecenik, Anrej, Shukrinov, Yu. M., "Resonance phenomena in an annular array of underdamped Josephson junctions" in Physical Review B, 101, no. 17 (2020),
https://doi.org/10.1103/PHYSREVB.101.174515 . .

TY  - JOUR
AU  - Mali, Petar
AU  - Šakota, Anđela
AU  - Tekić, Jasmina
AU  - Radošević, Slobodan
AU  - Pantić, Milan
AU  - Pavkov-Hrvojević, Milica
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8931
AB  - We demonstrate, using the example of the dc+ac driven overdamped Frenkel-Kontorova model, that an easily calculable measure of complexity can be used for the examination of Shapiro steps in the presence of thermal noise. In real systems, thermal noise causes melting or even disappearance of Shapiro steps, which makes their analysis in the standard way from the response function difficult. Unlike in the conventional approach, here, by calculating the Kolmogorov complexity of certain areas in the response function, we were able to detect Shapiro steps, measure their size with the desired precision, and examine their temperature dependence. The aim of this work is to provide scientists, particularly experimentalists, with an unconventional, but practical and easy tool for examination of Shapiro steps in real systems.
T2  - Physical Review E
T1  - Complexity of Shapiro steps
VL  - 101
IS  - 3
SP  - 032203
DO  - 10.1103/PhysRevE.101.032203
ER  - 

@article{
author = "Mali, Petar and Šakota, Anđela and Tekić, Jasmina and Radošević, Slobodan and Pantić, Milan and Pavkov-Hrvojević, Milica",
year = "2020",
abstract = "We demonstrate, using the example of the dc+ac driven overdamped Frenkel-Kontorova model, that an easily calculable measure of complexity can be used for the examination of Shapiro steps in the presence of thermal noise. In real systems, thermal noise causes melting or even disappearance of Shapiro steps, which makes their analysis in the standard way from the response function difficult. Unlike in the conventional approach, here, by calculating the Kolmogorov complexity of certain areas in the response function, we were able to detect Shapiro steps, measure their size with the desired precision, and examine their temperature dependence. The aim of this work is to provide scientists, particularly experimentalists, with an unconventional, but practical and easy tool for examination of Shapiro steps in real systems.",
journal = "Physical Review E",
title = "Complexity of Shapiro steps",
volume = "101",
number = "3",
pages = "032203",
doi = "10.1103/PhysRevE.101.032203"
}

Mali, P., Šakota, A., Tekić, J., Radošević, S., Pantić, M.,& Pavkov-Hrvojević, M.. (2020). Complexity of Shapiro steps. in Physical Review E, 101(3), 032203.
https://doi.org/10.1103/PhysRevE.101.032203

Mali P, Šakota A, Tekić J, Radošević S, Pantić M, Pavkov-Hrvojević M. Complexity of Shapiro steps. in Physical Review E. 2020;101(3):032203.
doi:10.1103/PhysRevE.101.032203 .

Mali, Petar, Šakota, Anđela, Tekić, Jasmina, Radošević, Slobodan, Pantić, Milan, Pavkov-Hrvojević, Milica, "Complexity of Shapiro steps" in Physical Review E, 101, no. 3 (2020):032203,
https://doi.org/10.1103/PhysRevE.101.032203 . .

TY  - JOUR
AU  - Jia, Li-Ping
AU  - Tekić, Jasmina
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9070
AB  - The hysteretic phenomena were investigated in the three-layer model consisting of a chain of harmonically interacting atoms confined between two rigid periodical substrate potentials, where the top substrate was driven by a external force. The pinning to running and the running-to pinning transitions were examined as the driving force was varied and the influence of the equilibrium spacing and strength of the interaction of the particles in the middle layer on the static and kinetic friction force analyzed in detail. The parameter space in which the friction forces could reach their maxima or minima was determined. These results could be interesting for the selection of lubricant materials and minimization of energy loss in tribology.
T2  - Scientific Reports
T1  - Hysteresis in the underdamped three-layer model
VL  - 10
IS  - 1
SP  - 10823
DO  - 10.1038/s41598-020-67779-9
ER  - 

@article{
author = "Jia, Li-Ping and Tekić, Jasmina",
year = "2020",
abstract = "The hysteretic phenomena were investigated in the three-layer model consisting of a chain of harmonically interacting atoms confined between two rigid periodical substrate potentials, where the top substrate was driven by a external force. The pinning to running and the running-to pinning transitions were examined as the driving force was varied and the influence of the equilibrium spacing and strength of the interaction of the particles in the middle layer on the static and kinetic friction force analyzed in detail. The parameter space in which the friction forces could reach their maxima or minima was determined. These results could be interesting for the selection of lubricant materials and minimization of energy loss in tribology.",
journal = "Scientific Reports",
title = "Hysteresis in the underdamped three-layer model",
volume = "10",
number = "1",
pages = "10823",
doi = "10.1038/s41598-020-67779-9"
}

Jia, L.,& Tekić, J.. (2020). Hysteresis in the underdamped three-layer model. in Scientific Reports, 10(1), 10823.
https://doi.org/10.1038/s41598-020-67779-9

Jia L, Tekić J. Hysteresis in the underdamped three-layer model. in Scientific Reports. 2020;10(1):10823.
doi:10.1038/s41598-020-67779-9 .

Jia, Li-Ping, Tekić, Jasmina, "Hysteresis in the underdamped three-layer model" in Scientific Reports, 10, no. 1 (2020):10823,
https://doi.org/10.1038/s41598-020-67779-9 . .

TY  - JOUR
AU  - Tekić, Jasmina
AU  - Botha, Andre E.
AU  - Mali, Petar
AU  - Shukrinov, Yury M.
PY  - 2019
UR  - https://link.aps.org/doi/10.1103/PhysRevE.99.022206
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8058
AB  - The effects of inertial terms on the dynamics of the dc+ac driven Frenkel-Kontorova model were examined. As the mass of particles was varied, the response of the system to the driving forces and appearance of the Shapiro steps were analyzed in detail. Unlike in the overdamped case, the increase of mass led to the appearance of the whole series of subharmonic steps in the staircase of the average velocity as a function of average driving force in any commensurate structure. At certain values of parameters, the subharmonic steps became separated by chaotic windows while the whole structure retained scaling similar to the original staircase. The mass of the particles also determined their sensitivity to the forces governing their dynamics. Depending on their mass, they were found to exhibit three types of dynamics, from dynamical mode-locking with chaotic windows, through to a typical dc response, to essentially a free-particle response. Examination of this dynamics in both the upforce and downforce directions showed that the system may not only exhibit hysteresis, but also that large Shapiro steps may appear in the downforce direction, even in cases for which no dynamical mode-locking occurred in the upforce direction. © 2019 American Physical Society.
T2  - Physical Review E
T1  - Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis
VL  - 99
IS  - 2
SP  - 022206
DO  - 10.1103/PhysRevE.99.022206
ER  - 

@article{
author = "Tekić, Jasmina and Botha, Andre E. and Mali, Petar and Shukrinov, Yury M.",
year = "2019",
abstract = "The effects of inertial terms on the dynamics of the dc+ac driven Frenkel-Kontorova model were examined. As the mass of particles was varied, the response of the system to the driving forces and appearance of the Shapiro steps were analyzed in detail. Unlike in the overdamped case, the increase of mass led to the appearance of the whole series of subharmonic steps in the staircase of the average velocity as a function of average driving force in any commensurate structure. At certain values of parameters, the subharmonic steps became separated by chaotic windows while the whole structure retained scaling similar to the original staircase. The mass of the particles also determined their sensitivity to the forces governing their dynamics. Depending on their mass, they were found to exhibit three types of dynamics, from dynamical mode-locking with chaotic windows, through to a typical dc response, to essentially a free-particle response. Examination of this dynamics in both the upforce and downforce directions showed that the system may not only exhibit hysteresis, but also that large Shapiro steps may appear in the downforce direction, even in cases for which no dynamical mode-locking occurred in the upforce direction. © 2019 American Physical Society.",
journal = "Physical Review E",
title = "Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis",
volume = "99",
number = "2",
pages = "022206",
doi = "10.1103/PhysRevE.99.022206"
}

Tekić, J., Botha, A. E., Mali, P.,& Shukrinov, Y. M.. (2019). Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis. in Physical Review E, 99(2), 022206.
https://doi.org/10.1103/PhysRevE.99.022206

Tekić J, Botha AE, Mali P, Shukrinov YM. Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis. in Physical Review E. 2019;99(2):022206.
doi:10.1103/PhysRevE.99.022206 .

Tekić, Jasmina, Botha, Andre E., Mali, Petar, Shukrinov, Yury M., "Inertial effects in the dc+ac driven underdamped Frenkel-Kontorova model: Subharmonic steps, chaos, and hysteresis" in Physical Review E, 99, no. 2 (2019):022206,
https://doi.org/10.1103/PhysRevE.99.022206 . .

TY  - JOUR
AU  - Yang, Y.
AU  - Tekić, Jasmina
AU  - Hong, X. R.
AU  - Jia, L. P.
AU  - Wei, P.
AU  - Duan, W. S.
PY  - 2019
UR  - https://www.tandfonline.com/doi/full/10.1080/17455030.2018.1428380
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8216
AB  - An overdamped three-layer model with incommensurate structure consisting of two harmonic chains which both move over the substrate potential is studied in the presence of an external (Formula presented.) driving force. The force is applied only on the upper harmonic chain, and dynamics of the middle layer is examined. The results show that the dynamical mode-locking appears not only in the upper layer but also in the middle one. The behavior of the middle layer is strongly determined by the amplitude and frequency of the ac force, and the phase diagram which presents pinned, dynamical mode-locking and sliding regimes as a function of system parameters are given. Contrary to the standard case, critical depinning force and steps exhibit anomalous behavior. Particles trajectories have been analyzed which showed very different motion of particles from the one which usually appears in systems under (Formula presented.) forces.
T2  - Waves in Random and Complex Media
T1  - Dynamics of the overdamped three-layer model with the incommensurate structure
VL  - 29
IS  - 2
SP  - 236
EP  - 246
DO  - 10.1080/17455030.2018.1428380
ER  - 

@article{
author = "Yang, Y. and Tekić, Jasmina and Hong, X. R. and Jia, L. P. and Wei, P. and Duan, W. S.",
year = "2019",
abstract = "An overdamped three-layer model with incommensurate structure consisting of two harmonic chains which both move over the substrate potential is studied in the presence of an external (Formula presented.) driving force. The force is applied only on the upper harmonic chain, and dynamics of the middle layer is examined. The results show that the dynamical mode-locking appears not only in the upper layer but also in the middle one. The behavior of the middle layer is strongly determined by the amplitude and frequency of the ac force, and the phase diagram which presents pinned, dynamical mode-locking and sliding regimes as a function of system parameters are given. Contrary to the standard case, critical depinning force and steps exhibit anomalous behavior. Particles trajectories have been analyzed which showed very different motion of particles from the one which usually appears in systems under (Formula presented.) forces.",
journal = "Waves in Random and Complex Media",
title = "Dynamics of the overdamped three-layer model with the incommensurate structure",
volume = "29",
number = "2",
pages = "236-246",
doi = "10.1080/17455030.2018.1428380"
}

Yang, Y., Tekić, J., Hong, X. R., Jia, L. P., Wei, P.,& Duan, W. S.. (2019). Dynamics of the overdamped three-layer model with the incommensurate structure. in Waves in Random and Complex Media, 29(2), 236-246.
https://doi.org/10.1080/17455030.2018.1428380

Yang Y, Tekić J, Hong XR, Jia LP, Wei P, Duan WS. Dynamics of the overdamped three-layer model with the incommensurate structure. in Waves in Random and Complex Media. 2019;29(2):236-246.
doi:10.1080/17455030.2018.1428380 .

Yang, Y., Tekić, Jasmina, Hong, X. R., Jia, L. P., Wei, P., Duan, W. S., "Dynamics of the overdamped three-layer model with the incommensurate structure" in Waves in Random and Complex Media, 29, no. 2 (2019):236-246,
https://doi.org/10.1080/17455030.2018.1428380 . .

TY  - JOUR
AU  - Sokolović, I.
AU  - Mali, Petar
AU  - Odavić, Jovan
AU  - Radošević, Slobodan M.
AU  - Medvedeva, S. Yu.
AU  - Botha, Andre E.
AU  - Shukrinov, Yury M.
AU  - Tekić, Jasmina
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1692
AB  - The devils staircase structure arising from the complete mode locking of an entirely nonchaotic system, the overdamped dc+ac driven Frenkel-Kontorova model with deformable substrate potential, was observed. Even though no chaos was found, a hierarchical ordering of the Shapiro steps was made possible through the use of a previously introduced continued fraction formula. The absence of chaos, deduced here from Lyapunov exponent analyses, can be attributed to the overdamped character and the Middleton no-passing rule. A comparative analysis of a one-dimensional stack of Josephson junctions confirmed the disappearance of chaos with increasing dissipation. Other common dynamic features were also identified through this comparison. A detailed analysis of the amplitude dependence of the Shapiro steps revealed that only for the case of a purely sinusoidal substrate potential did the relative sizes of the steps follow a Farey sequence. For nonsinusoidal (deformed) potentials, the symmetry of the Stern-Brocot tree, depicting all members of particular Farey sequence, was seen to be increasingly broken, with certain steps being more prominent and their relative sizes not following the Farey rule.
T2  - Physical Review E
T1  - Devils staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model
VL  - 96
IS  - 2
DO  - 10.1103/PhysRevE.96.022210
ER  - 

@article{
author = "Sokolović, I. and Mali, Petar and Odavić, Jovan and Radošević, Slobodan M. and Medvedeva, S. Yu. and Botha, Andre E. and Shukrinov, Yury M. and Tekić, Jasmina",
year = "2017",
abstract = "The devils staircase structure arising from the complete mode locking of an entirely nonchaotic system, the overdamped dc+ac driven Frenkel-Kontorova model with deformable substrate potential, was observed. Even though no chaos was found, a hierarchical ordering of the Shapiro steps was made possible through the use of a previously introduced continued fraction formula. The absence of chaos, deduced here from Lyapunov exponent analyses, can be attributed to the overdamped character and the Middleton no-passing rule. A comparative analysis of a one-dimensional stack of Josephson junctions confirmed the disappearance of chaos with increasing dissipation. Other common dynamic features were also identified through this comparison. A detailed analysis of the amplitude dependence of the Shapiro steps revealed that only for the case of a purely sinusoidal substrate potential did the relative sizes of the steps follow a Farey sequence. For nonsinusoidal (deformed) potentials, the symmetry of the Stern-Brocot tree, depicting all members of particular Farey sequence, was seen to be increasingly broken, with certain steps being more prominent and their relative sizes not following the Farey rule.",
journal = "Physical Review E",
title = "Devils staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model",
volume = "96",
number = "2",
doi = "10.1103/PhysRevE.96.022210"
}

Sokolović, I., Mali, P., Odavić, J., Radošević, S. M., Medvedeva, S. Yu., Botha, A. E., Shukrinov, Y. M.,& Tekić, J.. (2017). Devils staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model. in Physical Review E, 96(2).
https://doi.org/10.1103/PhysRevE.96.022210

Sokolović I, Mali P, Odavić J, Radošević SM, Medvedeva SY, Botha AE, Shukrinov YM, Tekić J. Devils staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model. in Physical Review E. 2017;96(2).
doi:10.1103/PhysRevE.96.022210 .

Sokolović, I., Mali, Petar, Odavić, Jovan, Radošević, Slobodan M., Medvedeva, S. Yu., Botha, Andre E., Shukrinov, Yury M., Tekić, Jasmina, "Devils staircase and the absence of chaos in the dc- and ac-driven overdamped Frenkel-Kontorova model" in Physical Review E, 96, no. 2 (2017),
https://doi.org/10.1103/PhysRevE.96.022210 . .

TY  - JOUR
AU  - Odavic, Jovan
AU  - Mali, Petar
AU  - Tekić, Jasmina
AU  - Pantic, Milan
AU  - Pavkov-Hrvojević, Milica
PY  - 2017
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1413
AB  - Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponent computational technique. Obtained results show that besides the usual way where behavior of the system in the presence of external forces is studied by analyzing its dynamical response function, the largest Lyapunov exponent analysis can represent a very convenient tool to examine system dynamics. In the dc driven systems, the critical depinning force for particular structure could be estimated by computing the largest Lyapunov exponent. In the dc+ac driven systems, if the substrate potential is the standard sinusoidal one, calculation of the largest Lyapunov exponent offers a more sensitive way to detect the presence of Shapiro steps. When the amplitude of the ac force is varied the behavior of the largest Lyapunov exponent in the pinned regime completely reflects the behavior of Shapiro steps and the critical depinning force, in particular, it represents the mirror image of the amplitude dependence of critical depinning force. This points out an advantage of this technique since by calculating the largest Lyapunov exponent in the pinned regime we can get an insight into the dynamics of the system when driving forces are applied. Additionally, the system is shown to be not chaotic even in the case of incommensurate structures and large amplitudes of external force, which is a consequence of overdampness of the model and the Middletons no passing rule. (C) 2016 Elsevier B.V. All rights reserved.
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces
VL  - 47
SP  - 100
EP  - 108
DO  - 10.1016/j.cnsns.2016.11.010
ER  - 

@article{
author = "Odavic, Jovan and Mali, Petar and Tekić, Jasmina and Pantic, Milan and Pavkov-Hrvojević, Milica",
year = "2017",
abstract = "Dynamics of driven dissipative Frenkel-Kontorova model is examined by using largest Lyapunov exponent computational technique. Obtained results show that besides the usual way where behavior of the system in the presence of external forces is studied by analyzing its dynamical response function, the largest Lyapunov exponent analysis can represent a very convenient tool to examine system dynamics. In the dc driven systems, the critical depinning force for particular structure could be estimated by computing the largest Lyapunov exponent. In the dc+ac driven systems, if the substrate potential is the standard sinusoidal one, calculation of the largest Lyapunov exponent offers a more sensitive way to detect the presence of Shapiro steps. When the amplitude of the ac force is varied the behavior of the largest Lyapunov exponent in the pinned regime completely reflects the behavior of Shapiro steps and the critical depinning force, in particular, it represents the mirror image of the amplitude dependence of critical depinning force. This points out an advantage of this technique since by calculating the largest Lyapunov exponent in the pinned regime we can get an insight into the dynamics of the system when driving forces are applied. Additionally, the system is shown to be not chaotic even in the case of incommensurate structures and large amplitudes of external force, which is a consequence of overdampness of the model and the Middletons no passing rule. (C) 2016 Elsevier B.V. All rights reserved.",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces",
volume = "47",
pages = "100-108",
doi = "10.1016/j.cnsns.2016.11.010"
}

Odavic, J., Mali, P., Tekić, J., Pantic, M.,& Pavkov-Hrvojević, M.. (2017). Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces. in Communications in Nonlinear Science and Numerical Simulation, 47, 100-108.
https://doi.org/10.1016/j.cnsns.2016.11.010

Odavic J, Mali P, Tekić J, Pantic M, Pavkov-Hrvojević M. Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces. in Communications in Nonlinear Science and Numerical Simulation. 2017;47:100-108.
doi:10.1016/j.cnsns.2016.11.010 .

Odavic, Jovan, Mali, Petar, Tekić, Jasmina, Pantic, Milan, Pavkov-Hrvojević, Milica, "Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces" in Communications in Nonlinear Science and Numerical Simulation, 47 (2017):100-108,
https://doi.org/10.1016/j.cnsns.2016.11.010 . .

TY  - JOUR
AU  - Wei, P.
AU  - Tekić, Jasmina
AU  - Yang, Y.
AU  - Jiang, X.
AU  - Duan, W. S.
AU  - Yang, L.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1224
AB  - Hysteretic phenomenon is studied for an underdamped commensurate three layers model consisting of two harmonic chains that both move over the substrate. In the depinning process, two critical points F-1 and F-2 are found. In the pinning process, two critical points F-3 and F-4 are also found. The dependence of four critical forces on the system parameters is investigated. The analytical result of critical force F-1 is obtained which is in good agreement with the numerical one.
T2  - Waves in Random and Complex Media
T1  - The friction phenomena in underdamped three layers Frenkel-Kontorova model
VL  - 26
IS  - 4
SP  - 592
EP  - 598
DO  - 10.1080/17455030.2016.1179354
ER  - 

@article{
author = "Wei, P. and Tekić, Jasmina and Yang, Y. and Jiang, X. and Duan, W. S. and Yang, L.",
year = "2016",
abstract = "Hysteretic phenomenon is studied for an underdamped commensurate three layers model consisting of two harmonic chains that both move over the substrate. In the depinning process, two critical points F-1 and F-2 are found. In the pinning process, two critical points F-3 and F-4 are also found. The dependence of four critical forces on the system parameters is investigated. The analytical result of critical force F-1 is obtained which is in good agreement with the numerical one.",
journal = "Waves in Random and Complex Media",
title = "The friction phenomena in underdamped three layers Frenkel-Kontorova model",
volume = "26",
number = "4",
pages = "592-598",
doi = "10.1080/17455030.2016.1179354"
}

Wei, P., Tekić, J., Yang, Y., Jiang, X., Duan, W. S.,& Yang, L.. (2016). The friction phenomena in underdamped three layers Frenkel-Kontorova model. in Waves in Random and Complex Media, 26(4), 592-598.
https://doi.org/10.1080/17455030.2016.1179354

Wei P, Tekić J, Yang Y, Jiang X, Duan WS, Yang L. The friction phenomena in underdamped three layers Frenkel-Kontorova model. in Waves in Random and Complex Media. 2016;26(4):592-598.
doi:10.1080/17455030.2016.1179354 .

Wei, P., Tekić, Jasmina, Yang, Y., Jiang, X., Duan, W. S., Yang, L., "The friction phenomena in underdamped three layers Frenkel-Kontorova model" in Waves in Random and Complex Media, 26, no. 4 (2016):592-598,
https://doi.org/10.1080/17455030.2016.1179354 . .

TY  - JOUR
AU  - Zhang, Zhen-Bin
AU  - Jia, Ru-Juan
AU  - Tekić, Jasmina
AU  - Yang, Yang
AU  - Wang, Cang-Long
AU  - Li, Jia-Wei
AU  - Wang, Xiao-Yun
AU  - Duan, Wen-Shan
AU  - Yang, Lei
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/737
AB  - Rectification phenomena and the phase locking in a two-dimensional overdamped Frenkel-Kontorova model with a graphite periodic substrate were studied. The presence of dc and ac forces in the longitudinal direction causes the appearance of dynamicalmode locking and the steps in the response function of the system. On the other hand, the presence of an ac force in the transverse direction causes the appearance of rectification, even though there is no net dc force in the transverse direction. It is found that whereas the longitudinal velocity increases in a series of steps, rectification in the transverse direction can occur only between two neighbor steps. The amplitude and phase of the external ac driving force affect the depinning force, rectification of the system and particles trajectories.
T2  - Frontiers of Physics
T1  - Rectification and phase locking of graphite
VL  - 10
IS  - 4
DO  - 10.1007/s11467-015-0473-1
ER  - 

@article{
author = "Zhang, Zhen-Bin and Jia, Ru-Juan and Tekić, Jasmina and Yang, Yang and Wang, Cang-Long and Li, Jia-Wei and Wang, Xiao-Yun and Duan, Wen-Shan and Yang, Lei",
year = "2015",
abstract = "Rectification phenomena and the phase locking in a two-dimensional overdamped Frenkel-Kontorova model with a graphite periodic substrate were studied. The presence of dc and ac forces in the longitudinal direction causes the appearance of dynamicalmode locking and the steps in the response function of the system. On the other hand, the presence of an ac force in the transverse direction causes the appearance of rectification, even though there is no net dc force in the transverse direction. It is found that whereas the longitudinal velocity increases in a series of steps, rectification in the transverse direction can occur only between two neighbor steps. The amplitude and phase of the external ac driving force affect the depinning force, rectification of the system and particles trajectories.",
journal = "Frontiers of Physics",
title = "Rectification and phase locking of graphite",
volume = "10",
number = "4",
doi = "10.1007/s11467-015-0473-1"
}

Zhang, Z., Jia, R., Tekić, J., Yang, Y., Wang, C., Li, J., Wang, X., Duan, W.,& Yang, L.. (2015). Rectification and phase locking of graphite. in Frontiers of Physics, 10(4).
https://doi.org/10.1007/s11467-015-0473-1

Zhang Z, Jia R, Tekić J, Yang Y, Wang C, Li J, Wang X, Duan W, Yang L. Rectification and phase locking of graphite. in Frontiers of Physics. 2015;10(4).
doi:10.1007/s11467-015-0473-1 .

Zhang, Zhen-Bin, Jia, Ru-Juan, Tekić, Jasmina, Yang, Yang, Wang, Cang-Long, Li, Jia-Wei, Wang, Xiao-Yun, Duan, Wen-Shan, Yang, Lei, "Rectification and phase locking of graphite" in Frontiers of Physics, 10, no. 4 (2015),
https://doi.org/10.1007/s11467-015-0473-1 . .

TY  - JOUR
AU  - Odavic, Jovan
AU  - Mali, Petar
AU  - Tekić, Jasmina
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/531
AB  - The largest Lyapunov exponent has been examined in the dynamical-mode locking phenomena of the ac+dc driven dissipative Frenkel-Kontorova model with deformable substrate potential. Due to deformation, large fractional and higher order subharmonic steps appear in the response function of the system. Computation of the largest Lyapunov exponent as a way to verify their presence led to the observation of the Farey sequence. In the standard regime, the appearance of half-integer and other subharmonic steps between the large harmonic steps, and their relative sizes follow the Farey construction. In the nonstandard regime, however, the half-integer steps are larger than harmonic ones, and Farey construction is only present in the appearance of higher order subharmonic steps. The examination of Lyapunov exponents has also shown that regardless of the substrate potential or deformation, there was no chaos in the system.
T2  - Physical Review E
T1  - Farey sequence in the appearance of subharmonic Shapiro steps
VL  - 91
IS  - 5
DO  - 10.1103/PhysRevE.91.052904
ER  - 

@article{
author = "Odavic, Jovan and Mali, Petar and Tekić, Jasmina",
year = "2015",
abstract = "The largest Lyapunov exponent has been examined in the dynamical-mode locking phenomena of the ac+dc driven dissipative Frenkel-Kontorova model with deformable substrate potential. Due to deformation, large fractional and higher order subharmonic steps appear in the response function of the system. Computation of the largest Lyapunov exponent as a way to verify their presence led to the observation of the Farey sequence. In the standard regime, the appearance of half-integer and other subharmonic steps between the large harmonic steps, and their relative sizes follow the Farey construction. In the nonstandard regime, however, the half-integer steps are larger than harmonic ones, and Farey construction is only present in the appearance of higher order subharmonic steps. The examination of Lyapunov exponents has also shown that regardless of the substrate potential or deformation, there was no chaos in the system.",
journal = "Physical Review E",
title = "Farey sequence in the appearance of subharmonic Shapiro steps",
volume = "91",
number = "5",
doi = "10.1103/PhysRevE.91.052904"
}

Odavic, J., Mali, P.,& Tekić, J.. (2015). Farey sequence in the appearance of subharmonic Shapiro steps. in Physical Review E, 91(5).
https://doi.org/10.1103/PhysRevE.91.052904

Odavic J, Mali P, Tekić J. Farey sequence in the appearance of subharmonic Shapiro steps. in Physical Review E. 2015;91(5).
doi:10.1103/PhysRevE.91.052904 .

Odavic, Jovan, Mali, Petar, Tekić, Jasmina, "Farey sequence in the appearance of subharmonic Shapiro steps" in Physical Review E, 91, no. 5 (2015),
https://doi.org/10.1103/PhysRevE.91.052904 . .

TY  - JOUR
AU  - Jia Li-Ping
AU  - Tekić, Jasmina
AU  - Duan Wen-Shan
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/493
AB  - The propagation of kink or edge dislocations in the underdamped generalized two-dimensional Frenkel-Kontorova model with harmonic interaction is studied with numerical simulations. The obtained results show that exactly one line of atoms can be inserted into the lattice, which remains at standstill. However, if more than one line of atoms are inserted into the lattice, then they will split into several lines with alpha = 1, where alpha presents the atoms inserted. In other words, only the kink with alpha = 1 is stable, while the other kinks are unstable, and will split into alpha = 1 kinks, which remain at standstill.
T2  - Chinese Physics Letters
T1  - Propagation and Interaction of Edge Dislocation (Kink) in the Square Lattice
VL  - 32
IS  - 4
DO  - 10.1088/0256-307X/32/4/040501
ER  - 

@article{
author = "Jia Li-Ping and Tekić, Jasmina and Duan Wen-Shan",
year = "2015",
abstract = "The propagation of kink or edge dislocations in the underdamped generalized two-dimensional Frenkel-Kontorova model with harmonic interaction is studied with numerical simulations. The obtained results show that exactly one line of atoms can be inserted into the lattice, which remains at standstill. However, if more than one line of atoms are inserted into the lattice, then they will split into several lines with alpha = 1, where alpha presents the atoms inserted. In other words, only the kink with alpha = 1 is stable, while the other kinks are unstable, and will split into alpha = 1 kinks, which remain at standstill.",
journal = "Chinese Physics Letters",
title = "Propagation and Interaction of Edge Dislocation (Kink) in the Square Lattice",
volume = "32",
number = "4",
doi = "10.1088/0256-307X/32/4/040501"
}

Jia Li-Ping, Tekić, J.,& Duan Wen-Shan. (2015). Propagation and Interaction of Edge Dislocation (Kink) in the Square Lattice. in Chinese Physics Letters, 32(4).
https://doi.org/10.1088/0256-307X/32/4/040501

Jia Li-Ping, Tekić J, Duan Wen-Shan. Propagation and Interaction of Edge Dislocation (Kink) in the Square Lattice. in Chinese Physics Letters. 2015;32(4).
doi:10.1088/0256-307X/32/4/040501 .

Jia Li-Ping, Tekić, Jasmina, Duan Wen-Shan, "Propagation and Interaction of Edge Dislocation (Kink) in the Square Lattice" in Chinese Physics Letters, 32, no. 4 (2015),
https://doi.org/10.1088/0256-307X/32/4/040501 . .

TY  - JOUR
AU  - Jia, Li-Ping
AU  - Tekić, Jasmina
AU  - Yang, Yang
AU  - Wang, Cang-Long
AU  - Duan, Wen-Shan
AU  - Yang, Lei
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/447
AB  - An overdamped three-layer model consisting of two harmonic chains of interacting particles, representing the upper and the middle layers, which move over the substrate potential, is studied in the present paper. A dc+ac force is applied only on the upper harmonic chain, and dynamics of both layers are investigated. The results show that the dynamical mode locking and Shapiro steps appear not only in the upper layer but also in the middle one. It is noted that the motion of particles in the upper layer corresponds to the standard Frenkel-Kontorova model. The dependence of the Shapiro steps of the middle layer on the system parameters are determined. It is shown that the height of the first Shapiro step of the upper layer is unrelated to the interaction parameters of the particles of both the upper and the middle layers, while the height of the first Shapiro step of the middle layer depend only on the interaction parameters of the particles of the middle layers. Two critical forces which transfer from locked state to the sliding one of both the upper and the middle layers are also studied. They depend on the amplitude and the frequency of the external ac driving force.
T2  - Physical Review E
T1  - Friction phenomena in the overdamped three-layer model
VL  - 91
IS  - 2
DO  - 10.1103/PhysRevE.91.022911
ER  - 

@article{
author = "Jia, Li-Ping and Tekić, Jasmina and Yang, Yang and Wang, Cang-Long and Duan, Wen-Shan and Yang, Lei",
year = "2015",
abstract = "An overdamped three-layer model consisting of two harmonic chains of interacting particles, representing the upper and the middle layers, which move over the substrate potential, is studied in the present paper. A dc+ac force is applied only on the upper harmonic chain, and dynamics of both layers are investigated. The results show that the dynamical mode locking and Shapiro steps appear not only in the upper layer but also in the middle one. It is noted that the motion of particles in the upper layer corresponds to the standard Frenkel-Kontorova model. The dependence of the Shapiro steps of the middle layer on the system parameters are determined. It is shown that the height of the first Shapiro step of the upper layer is unrelated to the interaction parameters of the particles of both the upper and the middle layers, while the height of the first Shapiro step of the middle layer depend only on the interaction parameters of the particles of the middle layers. Two critical forces which transfer from locked state to the sliding one of both the upper and the middle layers are also studied. They depend on the amplitude and the frequency of the external ac driving force.",
journal = "Physical Review E",
title = "Friction phenomena in the overdamped three-layer model",
volume = "91",
number = "2",
doi = "10.1103/PhysRevE.91.022911"
}

Jia, L., Tekić, J., Yang, Y., Wang, C., Duan, W.,& Yang, L.. (2015). Friction phenomena in the overdamped three-layer model. in Physical Review E, 91(2).
https://doi.org/10.1103/PhysRevE.91.022911

Jia L, Tekić J, Yang Y, Wang C, Duan W, Yang L. Friction phenomena in the overdamped three-layer model. in Physical Review E. 2015;91(2).
doi:10.1103/PhysRevE.91.022911 .

Jia, Li-Ping, Tekić, Jasmina, Yang, Yang, Wang, Cang-Long, Duan, Wen-Shan, Yang, Lei, "Friction phenomena in the overdamped three-layer model" in Physical Review E, 91, no. 2 (2015),
https://doi.org/10.1103/PhysRevE.91.022911 . .

TY  - JOUR
AU  - Mali, Petar
AU  - Tekić, Jasmina
AU  - Pantic, Milan
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/6002
AB  - Properties of the Shapiro steps in different commensurate structures of the ac + dc driven Frenkel-Kontorova model with asymmetric deformable substrate potential have been examined. Deviation from the sinusoidal potential produces appearance of large subharmonic steps. In general, different commensurate structures respond differently to the applied force and have different velocities. The results have shown that after shape parameter gets some critical value, there is no difference in the behavior of Shapiro steps for different commensurate structures. The step size and the critical depinning force for different commensurate structures saturate to the same values, due to reduction of degrees of freedom with the large deformation of potential. (C) 2014 Elsevier B.V. All rights reserved.
T2  - Communications in Nonlinear Science and Numerical Simulation
T1  - Saturation effects in ac plus dc driven Frenkel-Kontorova model
VL  - 19
IS  - 10
SP  - 3469
EP  - 3475
DO  - 10.1016/j.cnsns.2014.03.017
ER  - 

@article{
author = "Mali, Petar and Tekić, Jasmina and Pantic, Milan",
year = "2014",
abstract = "Properties of the Shapiro steps in different commensurate structures of the ac + dc driven Frenkel-Kontorova model with asymmetric deformable substrate potential have been examined. Deviation from the sinusoidal potential produces appearance of large subharmonic steps. In general, different commensurate structures respond differently to the applied force and have different velocities. The results have shown that after shape parameter gets some critical value, there is no difference in the behavior of Shapiro steps for different commensurate structures. The step size and the critical depinning force for different commensurate structures saturate to the same values, due to reduction of degrees of freedom with the large deformation of potential. (C) 2014 Elsevier B.V. All rights reserved.",
journal = "Communications in Nonlinear Science and Numerical Simulation",
title = "Saturation effects in ac plus dc driven Frenkel-Kontorova model",
volume = "19",
number = "10",
pages = "3469-3475",
doi = "10.1016/j.cnsns.2014.03.017"
}

Mali, P., Tekić, J.,& Pantic, M.. (2014). Saturation effects in ac plus dc driven Frenkel-Kontorova model. in Communications in Nonlinear Science and Numerical Simulation, 19(10), 3469-3475.
https://doi.org/10.1016/j.cnsns.2014.03.017

Mali P, Tekić J, Pantic M. Saturation effects in ac plus dc driven Frenkel-Kontorova model. in Communications in Nonlinear Science and Numerical Simulation. 2014;19(10):3469-3475.
doi:10.1016/j.cnsns.2014.03.017 .

Mali, Petar, Tekić, Jasmina, Pantic, Milan, "Saturation effects in ac plus dc driven Frenkel-Kontorova model" in Communications in Nonlinear Science and Numerical Simulation, 19, no. 10 (2014):3469-3475,
https://doi.org/10.1016/j.cnsns.2014.03.017 . .

TY  - JOUR
AU  - Čevizović, Dalibor
AU  - Ivić, Zoran
AU  - Pržulj, Željko
AU  - Tekić, Jasmina
AU  - Kapor, Darko
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5764
AB  - We examine the effects of the interchain coupling on the properties of the large adiabatic polaron in the two chain model. In dependence of the strength of the interchain coupling (gamma) two different types of polaron solutions were found. In the weak coupling regime (gamma LT 1/2), polaron is confined to a single chain. As coupling increases continual transition towards the delocalization takes place - polaron amplitudes on both chains gradually become equalized, in the same time, its binding energy vanishes. Finally, above the critical coupling strength, polaron is fully delocalized - equally distributed over the both chains while its energy lies within the band of free states. Our the most specific prediction is the substantial impact of the polaron motion on its character. This implies the emergence of the two different regimes in charge transfer processes which may be experimentally verified. (C) 2013 Elsevier B.V. All rights reserved.
T2  - Chemical Physics
T1  - Interchain coupling effects on large acoustic polaron in two parallel molecular chains
VL  - 426
SP  - 9
EP  - 15
DO  - 10.1016/j.chemphys.2013.09.005
ER  - 

@article{
author = "Čevizović, Dalibor and Ivić, Zoran and Pržulj, Željko and Tekić, Jasmina and Kapor, Darko",
year = "2013",
abstract = "We examine the effects of the interchain coupling on the properties of the large adiabatic polaron in the two chain model. In dependence of the strength of the interchain coupling (gamma) two different types of polaron solutions were found. In the weak coupling regime (gamma LT 1/2), polaron is confined to a single chain. As coupling increases continual transition towards the delocalization takes place - polaron amplitudes on both chains gradually become equalized, in the same time, its binding energy vanishes. Finally, above the critical coupling strength, polaron is fully delocalized - equally distributed over the both chains while its energy lies within the band of free states. Our the most specific prediction is the substantial impact of the polaron motion on its character. This implies the emergence of the two different regimes in charge transfer processes which may be experimentally verified. (C) 2013 Elsevier B.V. All rights reserved.",
journal = "Chemical Physics",
title = "Interchain coupling effects on large acoustic polaron in two parallel molecular chains",
volume = "426",
pages = "9-15",
doi = "10.1016/j.chemphys.2013.09.005"
}

Čevizović, D., Ivić, Z., Pržulj, Ž., Tekić, J.,& Kapor, D.. (2013). Interchain coupling effects on large acoustic polaron in two parallel molecular chains. in Chemical Physics, 426, 9-15.
https://doi.org/10.1016/j.chemphys.2013.09.005

Čevizović D, Ivić Z, Pržulj Ž, Tekić J, Kapor D. Interchain coupling effects on large acoustic polaron in two parallel molecular chains. in Chemical Physics. 2013;426:9-15.
doi:10.1016/j.chemphys.2013.09.005 .

Čevizović, Dalibor, Ivić, Zoran, Pržulj, Željko, Tekić, Jasmina, Kapor, Darko, "Interchain coupling effects on large acoustic polaron in two parallel molecular chains" in Chemical Physics, 426 (2013):9-15,
https://doi.org/10.1016/j.chemphys.2013.09.005 . .

TY  - JOUR
AU  - Tekić, Jasmina
AU  - Mali, Petar
AU  - Ivić, Zoran
AU  - Pantic, M.
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5769
AB  - Size effect of the subharmonic Shapiro steps on the behavior of harmonic ones is studied in the ac driven overdamped Frenkel-Kontorova model with different types of physically important realistic substrate potentials. The properties of harmonic Shapiro steps are directly correlated with the size of halfinteger steps; and according to that in their amplitude dependence, three distinctive types of behavior have been classified. Our results on other realistic systems show that these classifications are not universal, and that not only the size of halfinteger steps but also the type of the substrate potential determines the properties and correlation between the Shapiro steps. While for some potentials such as variable and double-barrier potential, system evolves through different types of amplitude dependence as the size of halfinteger steps changes, in the case of double-well potential, the system maintains the standard behavior (the behavior for small halfinteger steps) even in the presence of large halfinteger steps. (c) 2013 AIP Publishing LLC.
T2  - Journal of Applied Physics
T1  - Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials
VL  - 114
IS  - 17
DO  - 10.1063/1.4829011
ER  - 

@article{
author = "Tekić, Jasmina and Mali, Petar and Ivić, Zoran and Pantic, M.",
year = "2013",
abstract = "Size effect of the subharmonic Shapiro steps on the behavior of harmonic ones is studied in the ac driven overdamped Frenkel-Kontorova model with different types of physically important realistic substrate potentials. The properties of harmonic Shapiro steps are directly correlated with the size of halfinteger steps; and according to that in their amplitude dependence, three distinctive types of behavior have been classified. Our results on other realistic systems show that these classifications are not universal, and that not only the size of halfinteger steps but also the type of the substrate potential determines the properties and correlation between the Shapiro steps. While for some potentials such as variable and double-barrier potential, system evolves through different types of amplitude dependence as the size of halfinteger steps changes, in the case of double-well potential, the system maintains the standard behavior (the behavior for small halfinteger steps) even in the presence of large halfinteger steps. (c) 2013 AIP Publishing LLC.",
journal = "Journal of Applied Physics",
title = "Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials",
volume = "114",
number = "17",
doi = "10.1063/1.4829011"
}

Tekić, J., Mali, P., Ivić, Z.,& Pantic, M.. (2013). Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials. in Journal of Applied Physics, 114(17).
https://doi.org/10.1063/1.4829011

Tekić J, Mali P, Ivić Z, Pantic M. Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials. in Journal of Applied Physics. 2013;114(17).
doi:10.1063/1.4829011 .

Tekić, Jasmina, Mali, Petar, Ivić, Zoran, Pantic, M., "Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials" in Journal of Applied Physics, 114, no. 17 (2013),
https://doi.org/10.1063/1.4829011 . .

TY  - JOUR
AU  - Wang, Cang-Long
AU  - Tekić, Jasmina
AU  - Duan, Wen-Shan
AU  - Shao, Zhi-Gang
AU  - Yang, Lei
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5271
AB  - We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4776226]
T2  - Journal of Chemical Physics
T1  - Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model
VL  - 138
IS  - 3
DO  - 10.1063/1.4776226
ER  - 

@article{
author = "Wang, Cang-Long and Tekić, Jasmina and Duan, Wen-Shan and Shao, Zhi-Gang and Yang, Lei",
year = "2013",
abstract = "We demonstrate the ratchet and phase locking effects in a two-dimensional overdamped Frenkel-Kontorova model with a square symmetric periodic substrate when both a longitudinal dc drive and a circular ac drive are applied. Besides the harmonic steps, the large half integer steps can also clearly be seen in the longitudinal (x) direction. These half integer steps are directly correlated to the appearance of positive and negative ratchet effects in the transverse (y) direction due to the symmetry breaking in the combination of the dc and ac drives. The angle between the net displacement and the longitudinal direction is analytically obtained in a single period of the ac drive. In the examination of the amplitude dependence of the ac drive, the maxima decrease monotonically with the amplitude, while the anomalies occur for the critical depinning force and the harmonic steps due to the spatial symmetry breaking of orbits in the presence of the ac drive. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4776226]",
journal = "Journal of Chemical Physics",
title = "Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model",
volume = "138",
number = "3",
doi = "10.1063/1.4776226"
}

Wang, C., Tekić, J., Duan, W., Shao, Z.,& Yang, L.. (2013). Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model. in Journal of Chemical Physics, 138(3).
https://doi.org/10.1063/1.4776226

Wang C, Tekić J, Duan W, Shao Z, Yang L. Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model. in Journal of Chemical Physics. 2013;138(3).
doi:10.1063/1.4776226 .

Wang, Cang-Long, Tekić, Jasmina, Duan, Wen-Shan, Shao, Zhi-Gang, Yang, Lei, "Ratchet effect and amplitude dependence of phase locking in a two-dimensional Frenkel-Kontorova model" in Journal of Chemical Physics, 138, no. 3 (2013),
https://doi.org/10.1063/1.4776226 . .

TY  - JOUR
AU  - Tekić, Jasmina
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5802
AB  - Shapiro steps are studied in the ac driven overdamped Frenkel-Kontorova model with deformable substrate potential. Appearance of very large subharmonic steps due to deformation of the substrate potential significantly influences the stability and existence of harmonic steps. Strong correlation among harmonic and subharmonic steps has been observed in which, the larger the width of half-integer steps, the smaller that of harmonic steps. Deviation from the well-known Bessel-like oscillations of the steps with amplitude have been observed and three different types of behavior classified. Strong influence of the frequency of the ac driving force on the appearance and size of subharmonic steps has been observed.
T2  - Romanian Reports in Physics
T1  - Properties of the Ac Driven Frenkel-Kontorova Model with Deformable Substrate Potential
VL  - 65
IS  - 4
SP  - 1178
EP  - 1186
UR  - https://hdl.handle.net/21.15107/rcub_vinar_5802
ER  - 

@article{
author = "Tekić, Jasmina",
year = "2013",
abstract = "Shapiro steps are studied in the ac driven overdamped Frenkel-Kontorova model with deformable substrate potential. Appearance of very large subharmonic steps due to deformation of the substrate potential significantly influences the stability and existence of harmonic steps. Strong correlation among harmonic and subharmonic steps has been observed in which, the larger the width of half-integer steps, the smaller that of harmonic steps. Deviation from the well-known Bessel-like oscillations of the steps with amplitude have been observed and three different types of behavior classified. Strong influence of the frequency of the ac driving force on the appearance and size of subharmonic steps has been observed.",
journal = "Romanian Reports in Physics",
title = "Properties of the Ac Driven Frenkel-Kontorova Model with Deformable Substrate Potential",
volume = "65",
number = "4",
pages = "1178-1186",
url = "https://hdl.handle.net/21.15107/rcub_vinar_5802"
}

Tekić, J.. (2013). Properties of the Ac Driven Frenkel-Kontorova Model with Deformable Substrate Potential. in Romanian Reports in Physics, 65(4), 1178-1186.
https://hdl.handle.net/21.15107/rcub_vinar_5802

Tekić J. Properties of the Ac Driven Frenkel-Kontorova Model with Deformable Substrate Potential. in Romanian Reports in Physics. 2013;65(4):1178-1186.
https://hdl.handle.net/21.15107/rcub_vinar_5802 .

Tekić, Jasmina, "Properties of the Ac Driven Frenkel-Kontorova Model with Deformable Substrate Potential" in Romanian Reports in Physics, 65, no. 4 (2013):1178-1186,
https://hdl.handle.net/21.15107/rcub_vinar_5802 .