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Quasiperiodic solutions for a class of quasiperiodically forced differential equations (Q1900351)

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scientific article; zbMATH DE number 811167
Language Label Description Also known as
English
Quasiperiodic solutions for a class of quasiperiodically forced differential equations
scientific article; zbMATH DE number 811167

    Statements

    title
    Quasiperiodic solutions for a class of quasiperiodically forced differential equations (English)
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    author
    Jiangong You
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    publication date
    31 October 1995
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    review text
    The existence of \((m+ 1)\)-dimensional invariant tori composed of quasiperiodic solutions for two second-order reversible nonautonomous differential equations is proved, through a KAM type theorem. Note that those \(m\)-frequency quasiperiodically forced systems (reversible pendulum and Duffing equations) do not contain any small parameters.
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    zbMATH Keywords
    KAM theory
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    reversible pendulum
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    invariant tori
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    quasiperiodic solutions
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    second-order reversible nonautonomous differential equations
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    KAM type theorem
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    Duffing equations
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    Identifiers

    Mathematics Subject Classification ID
    34C27
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    34C15
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    34C30
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    zbMATH DE Number
    811167
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    OpenAlex ID
    W2024416907
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