周期矩形信号作用下时滞非对称单稳系统的随机共振

Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal

研究了周期矩形信号对时滞非对称单稳系统随机共振的影响,系统中加入的噪声均为Gauss白噪声.得到了信噪比的解析表达式,通过分析信噪比曲线发现系统存在随机共振现象.数值结果还表明乘性与加性噪声强度对信噪比的影响是不同的,在SNR-D参数平面上共振与抑制共存.在信噪比随着时滞量变化的曲线图上发现,当系统的非称性|r|取值很大或者乘性与加性噪声强度比D/α小于1时,参数平面上的随机共振现象会消失.

We investigate the stochastic resonance of the time-delayed mono-stable system modulated by periodic rectangular signal and Gaussian white noises.The expression of signal-to-noise ratio（SNR） is obtained,and the stochastic resonance phenomenon is found in this system.The study shows that the effects of multiplicative intensily and white noise intensity on S N R are different.In the S N R-D plot,the phenomena of resonance and suppression coexist.When the value of the bias of system ｜r｜ is bigger or the ratio of multiplicative intensily to white noise intensity D/αis less than 1,the stochastic resonance phenomenon in the SNR-τplots disappears.