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Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application

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  • Shi, Peiming
  • Zhang, Wenyue
  • Han, Dongying
  • Li, Mengdi

Abstract

A stochastic resonance (SR) tristable system based on a high-order time-delayed feedback is investigated and the feasibility of the system for weak fault signature extraction is discussed. The potential function, the mean first-passage time (MFPT) and the signal-to-noise ratio (SNR) are used to evaluate the model. Firstly, the potential function and stationary probability function (PDF) of the system are derived, and then the influence of the time delay parameters on the MFPT of the particles is analyzed. Secondly, the influences of time-delyed strength e and delyed length τ on the SR system from the perspective of the transition of the particles in the potential wells are discussed, and then the SNR and the effect of the parameters on the SNR are derived. In addition, the high-order time-delayed feedback tristable stochastic resonance (HTFTSR) system is used to deal with faulty bearing data and is compared with traditional tristable stochastic resonance (TSR). The result shows that the nonlinear system model can accurately identify the fault frequency and improve the energy of the characteristic signal under the appropriate system parameters.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:155-166
    DOI: 10.1016/j.chaos.2019.07.048
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    1. G. Augello & D. Valenti & B. Spagnolo, 2010. "Non-Gaussian noise effects in the dynamics of a short overdamped Josephson junction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 78(2), pages 225-234, November.
    2. Wang, Kang-Kang & Ju, Lin & Wang, Ya-Jun & Li, Sheng-Hong, 2018. "Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 166-181.
    3. Xu, Pengfei & Jin, Yanfei, 2018. "Mean first-passage time in a delayed tristable system driven by correlated multiplicative and additive white noises," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 75-82.
    4. Wang, Can-Jun & Yang, Ke-Li & Du, Chun-Yan, 2017. "Multiple cross-correlation noise induced transition in a stochastic bistable system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 261-274.
    5. 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.
    6. Wang, Kang-Kang & Wang, Ya-Jun & Li, Sheng-Hong & Wu, Jian-Cheng, 2017. "Double time-delays induced stochastic dynamical characteristics for a metapopulation system subjected to the associated noises and a multiplicative periodic signal," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 400-417.
    7. Jin, Yanfei, 2012. "Noise-induced dynamics in a delayed bistable system with correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 1928-1933.
    8. 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.
    9. La Barbera, A & Spagnolo, B, 2002. "Spatio-temporal patterns in population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 120-124.
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