Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal

doi:10.1088/1674-1056/19/8/080502

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80502-080502.doi: 10.1088/1674-1056/19/8/080502

Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal

周玉荣¹, 郭锋², 罗向东², 李少甫²

(1)School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China; (2)School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China

收稿日期:2008-12-24 修回日期:2009-12-21 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
Project supported by the Doctorial Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal

Guo Feng(郭锋)^a)^†, Luo Xiang-Dong(罗向东)^a), Li Shao-Fu(李少甫)^a), and Zhou Yu-Rong(周玉荣)^b)

^a School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China; ^b School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China

Received:2008-12-24 Revised:2009-12-21 Online:2010-08-15 Published:2010-08-15
Supported by:
Project supported by the Doctorial Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

摘要/Abstract

摘要： This paper considers the stochastic resonance in a stochastic bistable system driven by a periodic square-wave signal and a static force as well as by additive white noise and dichotomous noise from the viewpoint of signal-to-noise ratio. It finds that the signal-to-noise ratio appears as stochastic resonance behaviour when it is plotted as a function of the noise strength of the white noise and dichotomous noise, as a function of the system parameters, or as a function of the static force. Moreover, the influence of the strength of the stochastic potential force and the correlation rate of the dichotomous noise on the signal-to-noise ratio is investigated.

Abstract: This paper considers the stochastic resonance in a stochastic bistable system driven by a periodic square-wave signal and a static force as well as by additive white noise and dichotomous noise from the viewpoint of signal-to-noise ratio. It finds that the signal-to-noise ratio appears as stochastic resonance behaviour when it is plotted as a function of the noise strength of the white noise and dichotomous noise, as a function of the system parameters, or as a function of the static force. Moreover, the influence of the strength of the stochastic potential force and the correlation rate of the dichotomous noise on the signal-to-noise ratio is investigated.

Key words: stochastic resonance, stochastic bistable system, dichotomous noise

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes) 84.30.Sk (Pulse and digital circuits)

郭锋, 罗向东, 李少甫, 周玉荣. Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal[J]. 中国物理B, 2010, 19(8): 80502-080502.

Guo Feng(郭锋), Luo Xiang-Dong(罗向东), Li Shao-Fu(李少甫), and Zhou Yu-Rong(周玉荣). Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal[J]. Chin. Phys. B, 2010, 19(8): 80502-080502.

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Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal

Stochastic resonance in a stochastic bistable system with additive noises and square-wave signal

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