Abstract 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.
Received: 28 November 2006
Revised: 19 January 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
Ning Li-Juan(宁丽娟), Xu Wei(徐伟), and Yao Ming-Li(姚明礼) Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise 2007 Chinese Physics 16 2595
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