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The effect of time-delayed feedback on logical stochastic resonance

Author

Listed:
  • Nan Wang

    (College of Information Science and Engineering, Ocean University of China)

  • Aiguo Song

    (School of Instrument Science and Engineering, Southeast University)

  • Biao Yang

    (School of Information Science and Engineering, Changzhou University)

Abstract

We examine the possibility of obtaining logic operation in a quartic-bistable system with linear time-delayed feedback subjected to Gaussian noise. The effect of time-delayed feedback on the effective potential well is investigated, and explicit numerical stimulation is conducted to study the influence of delay time and strength of the time-delayed feedback on the responses of the system. Although the response deteriorates slightly at low values of noise intensity with time-delayed feedback and the peak correct probability decreases from 100% when the delay time is too long, the reliability of obtaining the desired logic output is enhanced in the higher noise boundary with the help of moderate time-delayed feedback. We also found that increasing the linear factor of the system can shift the optimal noise intensity to a higher level.

Suggested Citation

  • Nan Wang & Aiguo Song & Biao Yang, 2017. "The effect of time-delayed feedback on logical stochastic resonance," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(6), pages 1-5, June.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:6:d:10.1140_epjb_e2017-80150-4
    DOI: 10.1140/epjb/e2017-80150-4
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    References listed on IDEAS

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    1. 河野, 憲一郎, 2009. "破産債権確定手続の基本構造," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 60(2/3), pages 161-188.
    2. Chen, Katherine K., 2009. "Enabling Creative Chaos," University of Chicago Press Economics Books, University of Chicago Press, number 9780226102375, December.
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    Cited by:

    1. Gui, Rong & Li, Jiaxin & Yao, Yuangen & Cheng, Guanghui, 2021. "Effect of time-delayed feedback in a bistable system inferred by logic operation," Chaos, Solitons & Fractals, Elsevier, vol. 148(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. Yao, Yuangen & Ma, Jun & Gui, Rong & Cheng, Guanghui, 2021. "Chaos-induced Set–Reset latch operation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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    Statistical and Nonlinear Physics;

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