色关联的乘性和加性色噪声激励下分段非线性模型的随机共振  

Stochastic resonance in a piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises

作　　者：靳艳飞[1] 李贝[1] 

机构地区：[1]北京理工大学宇航学院力学系,北京100081

出　　处：《物理学报》2014年第21期34-38,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11272051)资助的课题~~

摘　　要：研究了色关联的乘性和加性高斯色噪声与外周期信号共同激励下,分段非线性系统的随机共振.利用一致有色噪声近似和两态模型理论,推导出系统稳态概率密度和信噪比的解析表达式,分析了色噪声和周期信号对随机共振的影响,发现系统中存在传统的随机共振和真实的随机共振现象.同时,系统的信噪比曲线的峰值随着噪声互关联系数和互关联时间的增加而减小.In this paper, we study the stochastic resonance in a piecewise nonlinear system driven by a periodic signal and colored noises, which is described by multiplicative and additive colored noises with colored cross-correlation. Using the two-state theory and the unified colored approximation, we can derive the analytical expressions of the steady-state probability density and the signal-to-noise ratio（SNR）. Effects of colored noises and the periodic signal on SNR are presented. It is found that the conventional stochastic resonance and bona-fide stochastic resonance may exist in this system. Moreover, the value of the SNR peak decreases with increasing correlation time and correlation between the additive and multiplicative noises.

关 键 词：色噪声 分段非线性系统 随机共振 

分 类 号：O321[理学—一般力学与力学基础]