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

doi:10.1088/1009-1963/16/9/016

中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2595-2599.doi: 10.1088/1009-1963/16/9/016

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

宁丽娟, 徐伟, 姚明礼

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

收稿日期:2006-11-28 修回日期:2007-01-19 出版日期:2007-09-20 发布日期:2007-09-20
基金资助:
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).

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

Ning Li-Juan(宁丽娟)^†, Xu Wei(徐伟), and Yao Ming-Li(姚明礼)

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China

Received:2006-11-28 Revised:2007-01-19 Online:2007-09-20 Published:2007-09-20
Supported by:
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/Abstract

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.

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.

Key words: stochastic resonance, signal-to-noise ratio, dichotomous noise, additive quadratic noise

中图分类号: (Noise)

05.40.Ca

02.50.-r (Probability theory, stochastic processes, and statistics) 05.45.-a (Nonlinear dynamics and chaos)

宁丽娟, 徐伟, 姚明礼. Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise[J]. 中国物理B, 2007, 16(9): 2595-2599.

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[J]. Chinese Physics, 2007, 16(9): 2595-2599.

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

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

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