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Stochastic Resonance in a Bistable System with Time-Delayed Feedback Loops

Stochastic Resonance in a Bistable System with Time-Delayed Feedback Loops

作     者:LI Dong-Xi XU Wei WANG Liang XU Yong 

作者机构:Department of Applied Mathematics Northwestern Polytechnical University Xi'an 710072 China 

出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))

年 卷 期:2008年第50卷第8期

页      面:396-402页

核心收录:

学科分类:07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基  金:supported by National Natural Science Foundation of China under Grant Nos.10472091 and 10332030 

主  题:stochastic resonance linear time-delayed feedback loops bistable system 

摘      要:The phenomenon of stochastic resonance of a bistable system subjected to linear time-delayed feedback loops driven by multiplieative Gaussian coloured noise and additive Gaussian white noise is investigated. Firstly, the analytic expression of the quasi-steady distribution function Ps (x, t) is derived by applying the unified coloured noise approximation and the Novikov Theorem; Secondly, the expression of the signal-to-noise ratio (SNR) is obtained in the adiabatic limit to quantify the stochastic resonance. Finally, tile effects of the linear coefficient a, the nonlinear coefficient b, the linear time-delayed feedback coefficient c and the delay time r on Ps(x,t) and SNR^± are discussed. It is found that the effects of the linear coefficient and the nonlinear coefficient, the positive linear time-delayed feedback coefficient and the negative linear time-delayed feedback coefficient, the positive delayed time and the negative delayed time on Ps(x,t) and SNR^± are different, respectively. This discussion would be helpful to the study of the system reliability and controlling stochastic resonance.

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