非对称双稳系统中乘性和加性噪声的随机共振  

Stochastic Resonance in an Asymmetric Bistable System with Multiplicative and Additive Noise

作　　者：周登荣[1] 郭锋[2] 靳学明[3] 鲁加国[3] 

机构地区：[1]攀枝花学院电气信息工程学院,四川攀枝花617000 [2]西南科技大学信息工程学院,四川绵阳621010 [3]中国电子科技集团公司第38研究所,安徽合肥230031

出　　处：《四川师范大学学报（自然科学版）》2012年第5期712-715,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家863高技术研究发展计划(2007AA12Z180);四川省教育厅科研基金(11ZA25B)资助项目

摘　　要：研究了具有相关乘性和加性噪声的非对称双稳系统中的随机共振现象.基于二态理论和绝热消去理论,得到了系统输出信噪比的解析表达式.发现信噪比是乘性噪声和加性噪声的强度、乘性和加性噪声强度的比值,以及乘性和加性噪声的关联强度和相关时间的非单调函数.另外,输出信噪比随系统的非对称性参数的变化而非单调变化.The stochastic resonance in an asymmetric bistable system subject to cross-correlated multiplieative and additive noise is investigated. Based on the two-state and the adiabatic elimination theories, the analytic expression of the signal-to-noise ratio （SNR） is obtained. It is shown that the SNR is anon-monotonic function of the intensities of the multiplicative and additive noise, the noise in- tensity ratio between the multiplicative and additive noise, as well as the correlation time and strength between the multiplicative and additive noise. Moreover, the maximum value of the SNR varies non-monotonously with the system asymmetry.

关 键 词：随机共振 非对称双稳系统 信噪比 噪声 非线性 

分 类 号：O540[理学—物理] O250