Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise

doi:10.1088/1674-1056/17/2/024

中国物理B ›› 2008, Vol. 17 ›› Issue (2): 486-491.doi: 10.1088/1674-1056/17/2/024

Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise

宁丽娟, 徐伟, 姚明礼

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

收稿日期:2007-04-11 修回日期:2007-07-10 出版日期:2008-02-20 发布日期:2008-02-20
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 (Grant No 2003A03).

Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive 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:2007-04-11 Revised:2007-07-10 Online:2008-02-20 Published:2008-02-20
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 (Grant No 2003A03).

摘要/Abstract

摘要： This paper investigates the stochastic resonance (SR) phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate expression of signal-to-noise ratio has been obtained by applying the two-state theory and SR exhibits in the bistable system. Moreover, the potential asymmetry $r$ and cross-correlation strength $\lambda$ can weaken the SR phenomenon, while the cross-correlation time $\tau $ can strengthen the SR phenomenon.

Abstract: This paper investigates the stochastic resonance (SR) phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate expression of signal-to-noise ratio has been obtained by applying the two-state theory and SR exhibits in the bistable system. Moreover, the potential asymmetry $r$ and cross-correlation strength $\lambda$ can weaken the SR phenomenon, while the cross-correlation time $\tau $ can strengthen the SR phenomenon.

Key words: stochastic resonance, asymmetry bistable system, signal-to-noise ratio

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes)

宁丽娟, 徐伟, 姚明礼. Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise[J]. 中国物理B, 2008, 17(2): 486-491.

Ning Li-Juan(宁丽娟), Xu Wei(徐伟), and Yao Ming-Li(姚明礼). Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise[J]. Chin. Phys. B, 2008, 17(2): 486-491.

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Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise

Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise

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