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  - 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 . .