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The effect of time-delayed feedback on logical stochastic resonance

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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.

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Authors and Affiliations

  1. College of Information Science and Engineering, Ocean University of China, Qingdao, 266100, P.R. China

    Nan Wang

  2. School of Instrument Science and Engineering, Southeast University, Sipailou 2, Nanjing, 210096, P.R. China

    Aiguo Song

  3. School of Information Science and Engineering, Changzhou University, Gehu Road 1, Changzhou, 213164, P.R. China

    Biao Yang

Authors
  1. Nan Wang
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  2. Aiguo Song
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  3. Biao Yang
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Correspondence to Nan Wang.

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Wang, N., Song, A. & Yang, B. The effect of time-delayed feedback on logical stochastic resonance. Eur. Phys. J. B 90, 117 (2017). https://doi.org/10.1140/epjb/e2017-80150-4

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  • DOI: https://doi.org/10.1140/epjb/e2017-80150-4

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