具有周期矩形信号的延迟非对称双稳系统的随机共振  

Stochastic resonance in a time-delayed asymmetric bistable system with periodic rectangular signal

作　　者：郭永峰[1] 申雅君[1] 刘洪涛[2] 

机构地区：[1]天津工业大学理学院,天津300387 [2]西安外事学院经济管理学院,陕西西安710077

出　　处：《安徽大学学报（自然科学版）》2015年第1期8-14,共7页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11102132)

摘　　要：在绝热近似条件下研究了具有周期矩形信号的延迟非对称双稳系统的随机共振现象.通过小时间延迟近似方法得到了非对称双稳系统的FPK方程,并推导得出了系统在延迟情况下的信噪比表达式,进一步研究了加性噪声强度Q、乘性噪声强度D、静态非对称性r、延迟时间τ以及噪声强度比率R对信噪比SNR的影响.研究发现在延迟情况下,改变加性噪声强度比改变乘性噪声强度更容易产生随机共振,且延迟时间对信噪比的影响是与噪声强度有关的.We studied the phenomenon of stochastic resonance（SR）in a time-delayed asymmetric bistable system with periodic rectangular signal in the adiabatic limit.A general approximate Fokker-Planck equation and the expression of the signal-to-noise ratio（SNR）were derived through the small time delay approximation.The effects of the additive noise intensity Q,multiplicative noise intensity D,static asymmetry r,delay timeτand noise intensity ratio Ron the SNR were discussed.It was found that adjusting the additive noise intensity Q was more sensitive than adjusting the multiplicative noise intensity Dto control SR.Moreover,the effects of the delay timeτon the SNR depended on the noise intensity.

关 键 词：随机共振 时间延迟 FPK方程 周期矩形信号 信噪比 

分 类 号：O324[理学—一般力学与力学基础]