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    Bifurcation in the Swift–Hohenberg Equation

    Source: Journal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003::page 31002
    Author:
    Xiao, Qingkun
    ,
    Gao, Hongjun
    DOI: 10.1115/1.4031489
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper is concerned with the asymptotic behavior of the solutions u(x, t) of the Swift–Hohenberg equation with quintic polynomial on the cylindrical domain Q=(0,L)أ—R+. With the control parameter خ± in the Swift–Hohenberg equation and the length L of the domain regarded as bifurcation parameters, branches of nontrivial solutions bifurcating from the trivial solution at certain points are shown. Local behavior of these branches is also investigated. With the help of a center manifold analysis, two types of structures in the bifurcation diagrams are presented when the bifurcation points are close, and their stabilities are analyzed.
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      Bifurcation in the Swift–Hohenberg Equation

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    contributor authorXiao, Qingkun
    contributor authorGao, Hongjun
    date accessioned2017-05-09T01:26:28Z
    date available2017-05-09T01:26:28Z
    date issued2016
    identifier issn1555-1415
    identifier othercnd_011_03_031002.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/160496
    description abstractThis paper is concerned with the asymptotic behavior of the solutions u(x, t) of the Swift–Hohenberg equation with quintic polynomial on the cylindrical domain Q=(0,L)أ—R+. With the control parameter خ± in the Swift–Hohenberg equation and the length L of the domain regarded as bifurcation parameters, branches of nontrivial solutions bifurcating from the trivial solution at certain points are shown. Local behavior of these branches is also investigated. With the help of a center manifold analysis, two types of structures in the bifurcation diagrams are presented when the bifurcation points are close, and their stabilities are analyzed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleBifurcation in the Swift–Hohenberg Equation
    typeJournal Paper
    journal volume11
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4031489
    journal fristpage31002
    journal lastpage31002
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2016:;volume( 011 ):;issue: 003
    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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