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Lévy noise-induced stochastic resonance in a bistable system

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Listed:
  • Yong Xu
  • Juanjuan Li
  • Jing Feng
  • Huiqing Zhang
  • Wei Xu
  • Jinqiao Duan

Abstract

The stochastic resonance phenomenon induced by Lévy noise in a second-order and under-damped bistable system is investigated. The signal-to-noise ratio for different parameters is computed by an efficient numerical scheme. The influences of the intensity and stability index of Lévy noise, as well as the amplitude of external signal on the occurrence of stochastic resonance phenomenon are characterized. The results imply that higher signal amplitude not only enhances the output power spectrum of system but also promotes stochastic resonance, and a proper adjustment of noise intensity in a certain range enlarges the peak value of output power spectrum which is significant for stochastic resonance. Moreover, with an appropriate damping parameter, lowering the stability index leads to larger fluctuations of Lévy noise, and further weakens the occurrence of the stochastic resonance. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Yong Xu & Juanjuan Li & Jing Feng & Huiqing Zhang & Wei Xu & Jinqiao Duan, 2013. "Lévy noise-induced stochastic resonance in a bistable system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(5), pages 1-7, May.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:5:p:1-7:10.1140/epjb/e2013-31115-4
    DOI: 10.1140/epjb/e2013-31115-4
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    Cited by:

    1. Suo, Jian & Dong, Haitao & Shen, Xiaohong & Wang, Haiyan, 2020. "Bistable stochastic resonance with linear amplitude response enhanced vector DOA estimation under low SNR conditions," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    2. Guo, Yong-Feng & Wei, Fang & Xi, Bei & Tan, Jian-Guo, 2018. "The instability probability density evolution of the bistable system driven by Gaussian colored noise and white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 200-208.
    3. Yue, Xiaole & Lv, Ge & Zhang, Ying, 2021. "Rare and hidden attractors in a periodically forced Duffing system with absolute nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    4. Guo, Yongfeng & Wang, Linjie & Dong, Qiang & Lou, Xiaojuan, 2021. "Dynamical complexity of FitzHugh–Nagumo neuron model driven by Lévy noise and Gaussian white noise," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 430-443.
    5. Shen, Zhuan & Zhang, Honghui & Du, Lin & Deng, Zichen & Kurths, Jürgen, 2023. "Initiation and termination of epilepsy induced by Lévy noise: A view from the cortical neural mass model," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    6. Xu, Yong & Wu, Juan & Du, Lin & Yang, Hui, 2016. "Stochastic resonance in a genetic toggle model with harmonic excitation and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 91-100.
    7. Zhou, Bingchang & McDonnell, Mark D., 2015. "Optimising threshold levels for information transmission in binary threshold networks: Independent multiplicative noise on each threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 659-667.
    8. Guo, Yongfeng & Wang, Linjie & Wei, Fang & Tan, Jianguo, 2019. "Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 118-126.

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    Keywords

    Statistical and Nonlinear Physics;

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