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Stochastic resonance in an asymmetric bistable system driven by multiplicative colored noise and additive white noise

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  • Zhou, Bingchang
  • Xu, Wei

Abstract

The phenomenon of stochastic resonance (SR) in a bistable system driven by multiplicative colored and additive white noises and a periodic rectangular signal with a constant component is studied by using the unified colored noise approximation and the theory of signal-to-noise (SNR) in the adiabatic limit. The analytic expression of the SNR is obtained for arbitrary signal amplitude without being restricted to small amplitudes. The SNR is a non-monotonic function of intensities of multiplicative colored and additive white noises and correlation time of multiplicative colored noise, so SR exhibits in the bistable system. The effects of potential asymmetry r and correlation time τ of multiplicative colored noise on SNR are opposite. Moreover, It is more sensitive to control SR through adjusting the additive white noise intensity D than adjusting the multiplicative colored noise intensity Q.

Suggested Citation

  • Zhou, Bingchang & Xu, Wei, 2008. "Stochastic resonance in an asymmetric bistable system driven by multiplicative colored noise and additive white noise," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1146-1151.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1146-1151
    DOI: 10.1016/j.chaos.2007.02.001
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    Cited by:

    1. Shi, Peiming & Xia, Haifeng & Han, Dongying & Fu, Rongrong & Yuan, Danzhen, 2018. "Stochastic resonance in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 8-14.
    2. Duan, Wei-Long & Fang, Hui, 2020. "The unified colored noise approximation of multidimensional stochastic dynamic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).

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