Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions
Само за регистроване кориснике
2023
Аутори
Mali, PetarRadošević, Slobodan
Gombar, Sonja
Tekić, Jasmina
Pantić, Milan
Pavkov-Hrvojević, Milica
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
coupled oscillators / collective dynamicsИзвор:
Physical Review E, 2023, 107, 6, 064213-Финансирање / пројекти:
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200017 (Универзитет у Београду, Институт за нуклеарне науке Винча, Београд-Винча) (RS-MESTD-inst-2020-200017)
- Министарство науке, технолошког развоја и иновација Републике Србије, институционално финансирање - 200125 (Универзитет у Новом Саду, Природно-математички факултет) (RS-MESTD-inst-2020-200125)
Напомена:
Институција/група
VinčaTY - 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 . .