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    Multistability and Stochastic Phenomena in the Distributed Brusselator Model

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 001::page 011007-1
    Author:
    Kolinichenko, Alexander
    ,
    Ryashko, Lev
    DOI: 10.1115/1.4045405
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An influence of random disturbances on the pattern formation in reaction–diffusion systems is studied. As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary nonhomogeneous spatial structures in the zone of Turing instability is demonstrated. A numerical parametric analysis of shapes, sizes of deterministic pattern–attractors, and their bifurcations is presented. Investigating the corporate influence of the multistability and stochasticity, we study phenomena of noise-induced transformation and generation of patterns.
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      Multistability and Stochastic Phenomena in the Distributed Brusselator Model

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    contributor authorKolinichenko, Alexander
    contributor authorRyashko, Lev
    date accessioned2022-02-04T22:56:02Z
    date available2022-02-04T22:56:02Z
    date copyright1/1/2020 12:00:00 AM
    date issued2020
    identifier issn1555-1415
    identifier othercnd_015_01_011007.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4275739
    description abstractAn influence of random disturbances on the pattern formation in reaction–diffusion systems is studied. As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary nonhomogeneous spatial structures in the zone of Turing instability is demonstrated. A numerical parametric analysis of shapes, sizes of deterministic pattern–attractors, and their bifurcations is presented. Investigating the corporate influence of the multistability and stochasticity, we study phenomena of noise-induced transformation and generation of patterns.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMultistability and Stochastic Phenomena in the Distributed Brusselator Model
    typeJournal Paper
    journal volume15
    journal issue1
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4045405
    journal fristpage011007-1
    journal lastpage011007-7
    page7
    treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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