PMID: 11308630Apr 20, 2001Paper

Effects of colored noise on stochastic resonance in a bistable system subject to multiplicative and additive noise

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Y JiaJ Li

Abstract

The effects of colored noise on stochastic resonance (SR) in a bistable system driven by multiplicative colored noise and additive white noise and a periodic signal are studied by using the unified colored noise approximation and the theory of signal-to-noise ratio (SNR) in the adiabatic limit. In the case of no correlations between noises, there is an optimal noise intensities ratio R at which SNR is a maximum that identifies the characteristics of the SR when the correlation time tau of the multiplicative colored noise is small. However, when tau is increased, a second optimal value of R appears, and two peaks appear in the SNR simultaneously. In the case of correlations between noises, the SNR is not only dependent on the correlation time tau, but also on the intensity of correlations between noises. Moreover, the double peak phenomenon can also appear as tau is increased in certain situations.

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Citations

Dec 1, 2004·Chaos·Bao-Quan AiLiang-Gang Liu
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Quan Liu, Ya Jia
May 23, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ming YiChunlian Zhu
Jan 23, 2020·Physical Review. E·Valerio Lucarini
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dan Wu, Shiqun Zhu
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jiang-Cheng Li, Dong-Cheng Mei
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dan WuXiaoqin Luo
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaoqin Luo, Shiqun Zhu

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