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

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  • Jin, Yanfei
  • Xu, Wei
  • Xu, Meng

Abstract

Expression of signal-to-noise ratio (SNR) has been obtained for an asymmetric bistable system subject to correlated multiplicative and additive white noise by applying the two-state theory. The SNR is a non-monotonic function of intensities of multiplicative and additive noise and cross-correlation strength between noises, so stochastic resonance (SR) exhibits in the bistable system. Moreover, the effects of potential asymmetry r and cross-correlation strength λ on SNR are opposite. And the effect of potential asymmetry on SNR strongly depends on the values of noise intensity and cross-correlation strength between noises.

Suggested Citation

  • Jin, Yanfei & Xu, Wei & Xu, Meng, 2005. "Stochastic resonance in an asymmetric bistable system driven by correlated multiplicative and additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1183-1187.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:4:p:1183-1187
    DOI: 10.1016/j.chaos.2005.02.026
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    Cited by:

    1. Zhang, Dongjian & Ma, Qihua & Dong, Hailiang & Liao, He & Liu, Xiangyu & Zha, Yibin & Zhang, Xiaoxiao & Qian, Xiaomin & Liu, Jin & Gan, Xuehui, 2023. "Time-delayed feedback bistable stochastic resonance system and its application in the estimation of the Polyester Filament Yarn tension in the spinning process," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Ma, Tianchi & Shen, Junxian & Song, Di & Xu, Feiyun, 2022. "Unsaturated piecewise bistable stochastic resonance with three kinds of asymmetries driven by multiplicative and additive noise," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Mi, Li-Na & Guo, Yong-Feng & Zhang, Meng & Zhuo, Xiao-Jing, 2023. "Stochastic resonance in gene transcriptional regulatory system driven by Gaussian noise and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    4. Zhang, Huiqing & Xu, Wei & Xu, Yong, 2009. "The study on a stochastic system with non-Gaussian noise and Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 781-788.

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