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Effects of combined harmonic and random excitations on a Brusselator model

Author

Listed:
  • Yong Xu

    (Northwestern Polytechnical University
    Potsdam Institute for Climate Impact Research
    Humboldt University Berlin)

  • Jinzhong Ma

    (Northwestern Polytechnical University)

  • Haiyan Wang

    (School of Marine Sciences, Northwestern Polytechnical University)

  • Yongge Li

    (Northwestern Polytechnical University)

  • Jürgen Kurths

    (Potsdam Institute for Climate Impact Research
    Humboldt University Berlin
    Institute of Applied Physics of the Russian Academy of Sciences)

Abstract

We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation.

Suggested Citation

  • Yong Xu & Jinzhong Ma & Haiyan Wang & Yongge Li & Jürgen Kurths, 2017. "Effects of combined harmonic and random excitations on a Brusselator model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(10), pages 1-7, October.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:10:d:10.1140_epjb_e2017-80076-9
    DOI: 10.1140/epjb/e2017-80076-9
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    Citations

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    Cited by:

    1. Bu, Min & Li, Jing & Guo, Rong & Ma, Jinzhong, 2023. "Dynamical responses of a Gaussian colored noise-driven shape memory alloy oscillator with a periodic force," Chaos, Solitons & Fractals, Elsevier, vol. 166(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. Lev Ryashko, 2023. "Analysis of Excitement Caused by Colored Noise in a Thermokinetic Model," Mathematics, MDPI, vol. 11(22), pages 1-11, November.
    4. Mbakob Yonkeu, R. & David, Afungchui, 2022. "Coherence and stochastic resonance in the fractional-birhythmic self-sustained system subjected to fractional time-delay feedback and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

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