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Study on the optimal stochastic resonance of different bistable potential models based on output saturation characteristic and application

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

Abstract

Stochastic resonance (SR) is a kind of physical phenomenon that makes use of noise energy to enhance the signal, but the problem of output saturation generally exists in classcial bistable stochastic resonance (CBSR). To overcome this shortcoming, a few unsaturation models have been established. In view of this, the present study is committed to analyzing and comparing the unsaturation ability of different models more systematically and comprehensively. Firstly, several new piecewise bistable potential models are constructed to supplement the existing unsaturation models and their unsaturation is proved. Then, the higher output signal-to-noise ratio (SNR) of simulated signals shows that the models with linear sides have better unsaturation characteristic and frequency adaptability. Finally, the output SNR and amplitude are chosen as the comprehensive index for evaluating the enhancement performance. Each mod el is applied to process analog and fault signals. The results show that unsaturation capability of piecewise linear bistable stochastic resonance system is best, which is demonstrated again from the optimal output SNR of particle swarm optimization (PSO) algorithm.

Suggested Citation

  • Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2020. "Study on the optimal stochastic resonance of different bistable potential models based on output saturation characteristic and application," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    • Handle: RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304951
    DOI: 10.1016/j.chaos.2020.110098
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    References listed on IDEAS

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    1. 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.
    2. Zhang, Chun & Du, Liping & Wang, Tonghuan & Yang, Tao & Zeng, Chunhua & Wang, Canjun, 2017. "Impact of time delay in a stochastic gene regulation network," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 120-129.
    3. 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.
    4. Guo, Feng, 2009. "Stochastic resonance in a bias monostable system with frequency mixing force and multiplicative and additive noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2315-2320.
    5. 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.
    6. M. Gosak & M. Perc & S. Kralj, 2011. "Stochastic resonance in a locally excited system of bistable oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(4), pages 519-528, April.
    7. Li, Jimeng & Chen, Xuefeng & Du, Zhaohui & Fang, Zuowei & He, Zhengjia, 2013. "A new noise-controlled second-order enhanced stochastic resonance method with its application in wind turbine drivetrain fault diagnosis," Renewable Energy, Elsevier, vol. 60(C), pages 7-19.
    8. 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.
    9. 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.
    10. Mobayen, Saleh & Ma, Jun, 2018. "Robust finite-time composite nonlinear feedback control for synchronization of uncertain chaotic systems with nonlinearity and time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 46-54.
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    Cited by:

    1. Li, Jimeng & Cheng, Xing & Peng, Junling & Meng, Zong, 2022. "A new adaptive parallel resonance system based on cascaded feedback model of vibrational resonance and stochastic resonance and its application in fault detection of rolling bearings," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2021. "A novel underdamped continuous unsaturation bistable stochastic resonance method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    3. Zhang, Wenyue & Shi, Peiming & Li, Mengdi & Han, Dongying, 2021. "A novel stochastic resonance model based on bistable stochastic pooling network and its application," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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