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  - 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 . .