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Stochastic Resonance in a Multistable System Driven by Gaussian Noise

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  • Peiming Shi
  • Pei Li
  • Shujun An
  • Dongying Han

Abstract

Stochastic resonance (SR) is investigated in a multistable system driven by Gaussian white noise. Using adiabatic elimination theory and three-state theory, the signal-to-noise ratio (SNR) is derived. We find the effects of the noise intensity and the resonance system parameters , , and on the SNR; the results show that SNR is a nonmonotonic function of the noise intensity; therefore, a multistable SR is found in this system, and the value of the peak changes with changing the system parameters.

Suggested Citation

  • Peiming Shi & Pei Li & Shujun An & Dongying Han, 2016. "Stochastic Resonance in a Multistable System Driven by Gaussian Noise," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-7, February.
    • Handle: RePEc:hin:jnddns:1093562
    DOI: 10.1155/2016/1093562
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    References listed on IDEAS

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    1. Saikia, Shantu, 2014. "The role of damping on Stochastic Resonance in a periodic potential," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 411-420.
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    Cited by:

    1. Shi, Peiming & Zhang, Wenyue & Han, Dongying & Li, Mengdi, 2019. "Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 155-166.
    2. 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.

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