Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise  

作　　者：宁丽娟 徐伟 姚明礼 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

出　　处：《Chinese Physics B》2007年第9期2595-2599,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10332030） and by the Natural Science Foundation of Shaanxi Province, China （Grant No 2003A03）.

摘　　要：In this paper the stochastic resonance （SR） is studied in an overdamped linear system driven by multiplicative noise and additive quadratic noise. The exact expressions are obtained for the first two moments and the correlation function by using linear response and the properties of the dichotomous noise. SR phenomenon exhibits in the linear system. There are three different forms of SR： the bona fide SR, the conventional SR and SR in the broad sense. Moreover, the effect of the asymmetry of the multiplicative noise on the signal-to-noise ratio （SNR） is different from that of the additive noise and the effect of multiplicative noise and additive noise on SNR is different.In this paper the stochastic resonance （SR） is studied in an overdamped linear system driven by multiplicative noise and additive quadratic noise. The exact expressions are obtained for the first two moments and the correlation function by using linear response and the properties of the dichotomous noise. SR phenomenon exhibits in the linear system. There are three different forms of SR： the bona fide SR, the conventional SR and SR in the broad sense. Moreover, the effect of the asymmetry of the multiplicative noise on the signal-to-noise ratio （SNR） is different from that of the additive noise and the effect of multiplicative noise and additive noise on SNR is different.

关 键 词：stochastic resonance signal-to-noise ratio dichotomous noise additive quadratic noise 

分 类 号：O41[理学—理论物理]