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Stochastic Higgins model with diffusion: pattern formation, multistability and noise-induced preference

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  • Irina Bashkirtseva

    (Ural Federal University)

  • Alexander Pankratov

    (Ural Federal University)

Abstract

A distributed variant of the Higgins glycolytic model with the diffusion is considered. A parametric description of the zone with Turing instability is found. By computer simulations, a process of the spatial pattern formation is studied. The multistability of the distributed Higgins model was discovered and the variety of patterns and their amplitude characteristics were described. In the quantitative analysis of the transient processes with varying spatial modality, the method of harmonic coefficients is used. For the stochastic variant of this model with multiplicative random disturbances, noise-induced transitions between coexisting patterns and the phenomenon of “stochastic preference” are discussed. Graphical abstract

Suggested Citation

  • Irina Bashkirtseva & Alexander Pankratov, 2019. "Stochastic Higgins model with diffusion: pattern formation, multistability and noise-induced preference," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(10), pages 1-9, October.
    • Handle: RePEc:spr:eurphb:v:92:y:2019:i:10:d:10.1140_epjb_e2019-100291-4
    DOI: 10.1140/epjb/e2019-100291-4
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    Cited by:

    1. Bashkirtseva, Irina & Kolinichenko, Alexander & Ryashko, Lev, 2021. "Stochastic sensitivity of Turing patterns: methods and applications to the analysis of noise-induced transitions," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. N. C. Pati, 2023. "Bifurcations and multistability in a physically extended Lorenz system for rotating convection," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-15, August.

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    Keywords

    Statistical and Nonlinear Physics;

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