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

作     者：Lei Jiang Li Lai Tao Yu Maokang Luo 姜磊;赖莉;蔚涛;罗懋康

作者机构：College of MathematicsSichuan UniversityChengdu 610064China College of Aeronautics and AstronauticsSichuan UniversityChengdu 610064China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2021年第30卷第6期

页      面：176-187页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China for the Youth (Grant Nos. 11501385 and 11801385) 

主　　题：coupled harmonic oscillators dichotomous fluctuating frequency synchronization stability stochastic resonance 

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.