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

doi:10.1088/1674-1056/19/7/070504

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70504-070504.doi: 10.1088/1674-1056/19/7/070504

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

张宇¹, 周玉荣², 郭锋³

(1)College of Economics and Management, Southwest University of Science and Technology, Mianyang 621010, China; (2)School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China; (3)School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the Doctor Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

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

Guo Feng(郭锋)^a)†, Zhou Yu-Rong(周玉荣)^b), and Zhang Yu(张宇)^c)

^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; ^c College of Economics and Management, Southwest University of Science and Technology, Mianyang 621010, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the Doctor Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

摘要/Abstract

摘要： 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.

Abstract: 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.

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

中图分类号: (Noise)

05.40.Ca

07.05.Dz (Control systems) 02.30.Ks (Delay and functional equations) 02.50.Fz (Stochastic analysis)

郭锋, 周玉荣, 张宇. Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise[J]. 中国物理B, 2010, 19(7): 70504-070504.

Guo Feng(郭锋), Zhou Yu-Rong(周玉荣), and Zhang Yu(张宇). Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise[J]. Chin. Phys. B, 2010, 19(7): 70504-070504.

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

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

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