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Analysis of Excitement Caused by Colored Noise in a Thermokinetic Model

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  • Lev Ryashko

    (Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina 51, 620000 Ekaterinburg, Russia)

Abstract

In this paper, a thermokinetic model forced by colored noise is studied. We analyze the mechanisms of stochastic excitement of equilibrium modes under variation of correlation time and noise intensity. It is shown that the phenomenon of colored-noise-induced excitement is accompanied by stochastic P-bifurcations. The region of the correlation parameter in which resonance occurs is localized. To study the phenomenon of colored-noise-induced excitement, we develop the probabilistic analysis based on the confidence domains method.

Suggested Citation

  • Lev Ryashko, 2023. "Analysis of Excitement Caused by Colored Noise in a Thermokinetic Model," Mathematics, MDPI, vol. 11(22), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4676-:d:1282299
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    References listed on IDEAS

    as
    1. Bashkirtseva, I.A & Ryashko, L.B, 2000. "Sensitivity analysis of the stochastically and periodically forced Brusselator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(1), pages 126-139.
    2. 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.
    3. Bashkirtseva, Irina, 2018. "Stochastic sensitivity of systems driven by colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 729-736.
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