色高斯噪声驱动双稳系统的多重随机共振研究  

Effect of gaussian color-correlated colored noise on stochastic multiresonance of a bistable system

作　　者：张晓燕[1] 徐伟[1] 周丙常[1] 

机构地区：[1]西北工业大学应用数学系,西安710072

出　　处：《物理学报》2011年第6期162-167,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10872165)资助的课题~~

摘　　要：研究了由色关联乘性和加性色噪声作用下的双稳系统的随机共振问题,在绝热近似条件下得到了信噪比的表达式.通过分析所得的初始条件为x(0)=x+时的信噪比,发现了单随机共振和多重随机共振现象;分析了噪声强度、噪声关联时间和关联强度对系统信噪比的影响.We investigate the stochastic resonance of the bistable system driven by multiplicative and additive colored noises with colored cross-correlation. The expression of signal-to-noise ratio （SNR） is obtained by using the adiabatic limit. Through analyzing SNR with the initial condition of x（0）=x＋, we find the stochastic resonance and the stochastic multiresonance. We also find the effects of the noise intensity, the cross-correlation intensity and the correlation time of the noise on the SNR.

关 键 词：多重随机共振 信噪比 双稳模型 色关联色噪声 

分 类 号：O324[理学—一般力学与力学基础]