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Stochastic resonance in time-delayed bistable systems driven by weak periodic signal

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  • Shao, Rui-Hua
  • Chen, Yong

Abstract

We study theoretically a bistable system with time-delayed feedback driven by a weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can change the shapes of the potential wells. In the adiabatic approximation, the signal-to-noise ratio (SNR) of the system with a weak periodic force is obtained. The time-delayed feedback modulates the magnitude of SNR by changing the shape of the potential and the effective strength of the signal. The maximum of SNR decreases with increasing the feedback intensity ϵ. When ϵ is negative (or positive), the time delay can suppress (or promote) the stochastic resonance phenomenon.

Suggested Citation

  • Shao, Rui-Hua & Chen, Yong, 2009. "Stochastic resonance in time-delayed bistable systems driven by weak periodic signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 977-983.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:6:p:977-983
    DOI: 10.1016/j.physa.2008.12.001
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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. 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.
    3. Shi, Zhuozheng & Liao, Zhiqiang & Tabata, Hitoshi, 2022. "Boosting learning ability of overdamped bistable stochastic resonance system based physical reservoir computing model by time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    4. Ma, Jun & Wang, Ya & Wang, Chunni & Xu, Ying & Ren, Guodong, 2017. "Mode selection in electrical activities of myocardial cell exposed to electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 219-225.
    5. Liu, Jian & Wang, Youguo, 2018. "Performance investigation of stochastic resonance in bistable systems with time-delayed feedback and three types of asymmetries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 359-369.

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