Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

doi:10.1088/1674-1056/ad3b86

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60503-060503.doi: 10.1088/1674-1056/ad3b86

Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

Ling Xu(徐玲)¹ and Lei Jiang(姜磊)^2,†

1 School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, China;
2 School of Mathematics and Statistics, Linyi University, Linyi 276000, China

收稿日期:2024-02-02 修回日期:2024-03-25 接受日期:2024-04-07 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Lei Jiang E-mail:jl12130o0o@163.com
基金资助:
Project supported by the Natural Science Foundation of Shandong Province of China for the Youth (Grant No. ZR2023QA102).

Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

Ling Xu(徐玲)¹ and Lei Jiang(姜磊)^2,†

1 School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, China;
2 School of Mathematics and Statistics, Linyi University, Linyi 276000, China

Received:2024-02-02 Revised:2024-03-25 Accepted:2024-04-07 Online:2024-06-18 Published:2024-06-18
Contact: Lei Jiang E-mail:jl12130o0o@163.com
Supported by:
Project supported by the Natural Science Foundation of Shandong Province of China for the Youth (Grant No. ZR2023QA102).

摘要/Abstract

摘要： This study investigates the dynamical behaviors of nearest neighbor asymmetric coupled systems in a confined space. First, the study derivative analytical stability and synchronization conditions for the asymmetrically coupled system in an unconfined space, which are then validated through numerical simulations. Simulation results show that asymmetric coupling has a significant impact on synchronization conditions. Moreover, it is observed that irrespective of whether the system is confined, an increase in coupling asymmetry leads to a hastened synchronization pace. Additionally, the study examines the effects of boundaries on the system's collective behaviors via numerical experiments. The presence of boundaries ensures the system's stability and synchronization, and reducing these boundaries can expedite the synchronization process and amplify its effects. Finally, the study reveals that the system's output amplitude exhibits stochastic resonance as the confined boundary size increases.

关键词: asymmetric coupled, confined space, synchronization, stochastic resonance, stability

Abstract: This study investigates the dynamical behaviors of nearest neighbor asymmetric coupled systems in a confined space. First, the study derivative analytical stability and synchronization conditions for the asymmetrically coupled system in an unconfined space, which are then validated through numerical simulations. Simulation results show that asymmetric coupling has a significant impact on synchronization conditions. Moreover, it is observed that irrespective of whether the system is confined, an increase in coupling asymmetry leads to a hastened synchronization pace. Additionally, the study examines the effects of boundaries on the system's collective behaviors via numerical experiments. The presence of boundaries ensures the system's stability and synchronization, and reducing these boundaries can expedite the synchronization process and amplify its effects. Finally, the study reveals that the system's output amplitude exhibits stochastic resonance as the confined boundary size increases.

Key words: asymmetric coupled, confined space, synchronization, stochastic resonance, stability

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

05.45.-a (Nonlinear dynamics and chaos) 05.45.Xt (Synchronization; coupled oscillators) 05.90.+m (Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)

Ling Xu(徐玲) and Lei Jiang(姜磊). Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system[J]. 中国物理B, 2024, 33(6): 60503-060503.

Ling Xu(徐玲) and Lei Jiang(姜磊). Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system[J]. Chin. Phys. B, 2024, 33(6): 60503-060503.

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Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

Effects of asymmetric coupling and boundary on the dynamic behaviors of a random nearest neighbor coupled system

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