Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise

This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, the expression of the signal-to-noise ratio （SNR） is obtained. It finds that the SNR...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 7; pp. 86 - 90
Main Author 郭锋 周玉荣 张宇
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2010
Subjects
Additives
Approximation
Asymmetry
Correlation
Mathematical analysis
Noise
Signal to noise ratio
Stochastic resonance
二元系统
信噪比
加性噪声
方波信号
时间延迟
稳态系统
随机共振
非单调函数
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/7/070504

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Summary:This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, the expression of the signal-to-noise ratio （SNR） is obtained. It finds that the SNR is a non-monotonic function of the delayed times, of the amplitude of the driving square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the intensities of the multiplicative and additive noise as well as the system parameters. Moreover, the SNR depends non-monotonically on the correlate rate of the dichotomous noise.
Bibliography:stochastic resonance, time-delayed bistable system, signal-to-noise ratio
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/7/070504