Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency

doi:10.1088/1674-1056/abd9b0

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60502-060502.doi: 10.1088/1674-1056/abd9b0

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency

Lei Jiang(姜磊)¹, Li Lai(赖莉)¹, Tao Yu(蔚涛)^1,†, Maokang Luo(罗懋康)^1,2

1 College of Mathematics, Sichuan University, Chengdu 610064, China;
2 College of Aeronautics and Astronautics, Sichuan University, Chengdu 610064, China

收稿日期:2020-11-10 修回日期:2021-01-03 接受日期:2021-01-08 出版日期:2021-05-18 发布日期:2021-06-09
通讯作者: Tao Yu E-mail:scuyutao@163.com
基金资助:
Project supported by the National Natural Science Foundation of China for the Youth (Grant Nos. 11501385 and 11801385).

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency

Lei Jiang(姜磊)¹, Li Lai(赖莉)¹, Tao Yu(蔚涛)^1,†, Maokang Luo(罗懋康)^1,2

1 College of Mathematics, Sichuan University, Chengdu 610064, China;
2 College of Aeronautics and Astronautics, Sichuan University, Chengdu 610064, China

Received:2020-11-10 Revised:2021-01-03 Accepted:2021-01-08 Online:2021-05-18 Published:2021-06-09
Contact: Tao Yu E-mail:scuyutao@163.com
Supported by:
Project supported by the National Natural Science Foundation of China for the Youth (Grant Nos. 11501385 and 11801385).

摘要/Abstract

摘要： The collective behaviors of two coupled harmonic oscillators with dichotomous fluctuating frequency are investigated, including stability, synchronization, and stochastic resonance (SR). First, the synchronization condition of the system is obtained. When this condition is satisfied, the mean-field behavior is consistent with any single particle behavior in the system. On this basis, the stability condition and the exact steady-state solution of the system are derived. Comparative analysis shows that, the stability condition is stronger than the synchronization condition, that is to say, when the stability condition is satisfied, the system is both synchronous and stable. Simulation analysis indicates that increasing the coupling strength will reduce the synchronization time. In weak coupling region, there is an optimal coupling strength that maximizes the output amplitude gain (OAG), thus the coupling-induced SR behavior occurs. In strong coupling region, the two particles are bounded as a whole, so that the coupling effect gradually disappears.

关键词: coupled harmonic oscillators, dichotomous fluctuating frequency, synchronization, stability, stochastic resonance

Abstract: The collective behaviors of two coupled harmonic oscillators with dichotomous fluctuating frequency are investigated, including stability, synchronization, and stochastic resonance (SR). First, the synchronization condition of the system is obtained. When this condition is satisfied, the mean-field behavior is consistent with any single particle behavior in the system. On this basis, the stability condition and the exact steady-state solution of the system are derived. Comparative analysis shows that, the stability condition is stronger than the synchronization condition, that is to say, when the stability condition is satisfied, the system is both synchronous and stable. Simulation analysis indicates that increasing the coupling strength will reduce the synchronization time. In weak coupling region, there is an optimal coupling strength that maximizes the output amplitude gain (OAG), thus the coupling-induced SR behavior occurs. In strong coupling region, the two particles are bounded as a whole, so that the coupling effect gradually disappears.

Key words: coupled harmonic oscillators, dichotomous fluctuating frequency, synchronization, stability, stochastic resonance

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)

Lei Jiang(姜磊), Li Lai(赖莉), Tao Yu(蔚涛), Maokang Luo(罗懋康). Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency[J]. 中国物理B, 2021, 30(6): 60502-060502.

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Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency

Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency

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