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Performance investigation of stochastic resonance in bistable systems with time-delayed feedback and three types of asymmetries

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  • Liu, Jian
  • Wang, Youguo

Abstract

The simultaneous influence of potential asymmetries and time-delayed feedback on stochastic resonance (SR) subject to both periodic force and additive Gaussian white noise is investigated by using two-state theory and small-delay approximation, where three types of asymmetries include well-depth, well-width, and both well-depth and well-width asymmetries, respectively. The asymmetric types and time-delayed feedback determine the behaviors of SR, especially output signal-to-noise ratio (SNR) peaks, optimal additive noise intensity and feedback intensity. Moreover, the largest SNR in asymmetric SR is found to be relatively larger than symmetric one in some cases, whereas in other cases the symmetric SR is superior to asymmetric one, which is of dependence on time delay and feedback intensity. In addition, the SR with well-width asymmetry can suppress stronger noise than that with well-depth asymmetry under the action of same time delay, which is beneficial to weak signal detection.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:493:y:2018:i:c:p:359-369
    DOI: 10.1016/j.physa.2017.10.028
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    References listed on IDEAS

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    1. L. Gammaitoni & P. Hänggi & P. Jung & F. Marchesoni, 2009. "Stochastic Resonance: A remarkable idea that changed our perception of noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(1), pages 1-3, May.
    2. Zhang, Xiaoyan & Xu, Wei, 2007. "Stochastic resonance in an asymmetric bistable system with coloured noises and periodic rectangular signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 95-104.
    3. Zhou, Bingchang & McDonnell, Mark D., 2015. "Optimising threshold levels for information transmission in binary threshold networks: Independent multiplicative noise on each threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 659-667.
    4. Cheng, Chaojun & Zhou, Bingchang & Gao, Xiao & McDonnell, Mark D., 2017. "M-ary suprathreshold stochastic resonance in multilevel threshold systems with signal-dependent noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 48-56.
    5. 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.
    6. Yu, Haitao & Galán, Roberto F. & Wang, Jiang & Cao, Yibin & Liu, Jing, 2017. "Stochastic resonance, coherence resonance, and spike timing reliability of Hodgkin–Huxley neurons with ion-channel noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 263-275.
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    Cited by:

    1. Pan, Yan & Ren, Yuhao & Duan, Fabing, 2018. "Noise benefits to robust M-estimation of location in dependent observations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 144-152.
    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. Liu, Jian & Cao, Jie & Wang, Youguo & Hu, Bing, 2019. "Asymmetric stochastic resonance in a bistable system driven by non-Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 321-336.
    4. Ma, Tianchi & Song, Di & Shen, Junxian & Xu, Feiyun, 2022. "Unsaturated piecewise bistable stochastic resonance with three kinds of asymmetries and time-delayed feedback," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Liu, Jian & Qiao, Zijian & Ding, Xiaojian & Hu, Bing & Zang, Chuanlai, 2021. "Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

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