Stochastic resonance research on under-damped nonlinear frequency fluctuation for coupled fractional-order harmonic oscillators

Results in Physics

Tianqi Zhang¹  Hui Wang²  Gang Zhang³ 

[1] School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;Corresponding author.;School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;

关键词: Stochastic resonance;    Coupled linear harmonic oscillators;    Nonlinear frequency fluctuation;    Fractional-order;   

DOI  :  

来源: DOAJ

【 摘 要 】

Stochastic resonance on under-damped nonlinear frequency fluctuation for coupled fractional-order linear particles is investigated. First, the average motions of the two coupled Brownian particles obtained by the random average method and the Shapiro-Loginov formula are completely synchronized. Then, on the basis of synchronization, the mathematical formula of the system output amplitude gain of one of the particles is calculated. Numerical simulation results show that there exist various stochastic resonance phenomena with system and noise parameters changing, such as double-peak SR (DSR), bona-fide resonance (BFR), and parameter-induced SR (PSR). The nonlinear noise coefficient plays a significant role in the system. Finally, the accuracy of theoretical analysis is verified by Simulink numerical simulation.

【 授权许可】

Unknown