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Effects of asymmetric Lévy noise in parameter-induced aperiodic stochastic resonance

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  • Zeng, Lingzao
  • Xu, Bohou

Abstract

We study properties of parameter-induced aperiodic stochastic resonance in the presence of asymmetric Lévy noise. The system performance is characterized by the bit error rate. Investigations are based on the numerical solution of the space-fractional Fokker–Planck equation and Monte Carlo simulations. After choosing the optimal detection threshold, it is shown that the skewness parameter β has very limited influence on the system performance. Under the same conditions, the system performance is slightly reduced with the increasing β. The stability index α has the dominant effects on the system performance. The lower value of α leads to the better system performance.

Suggested Citation

  • Zeng, Lingzao & Xu, Bohou, 2010. "Effects of asymmetric Lévy noise in parameter-induced aperiodic stochastic resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(22), pages 5128-5136.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:22:p:5128-5136
    DOI: 10.1016/j.physa.2010.07.032
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    Cited by:

    1. Chen, Ru-Yin & Tong, Lu-Mei & Nie, Lin-Ru & Wang, Chaojie & Pan, Wanli, 2017. "Anomalous transports in a time-delayed system subjected to anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 532-539.
    2. Xu, Liyan & Duan, Fabing & Abbott, Derek & McDonnell, Mark D., 2016. "Optimal weighted suprathreshold stochastic resonance with multigroup saturating sensors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 348-355.
    3. Pan, Yan & Duan, Fabing & Xu, Liyan & Chapeau-Blondeau, François, 2019. "Benefits of noise in M-estimators: Optimal noise level and probability density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    4. 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.
    5. Song, Yi & Xu, Wei, 2021. "Asymmetric Lévy noise changed stability in a gene transcriptional regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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