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Approximate first integrals of a Hamiltonian system with two degrees of freedom (Q928608)

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scientific article; zbMATH DE number 5287443
Language Label Description Also known as
English
Approximate first integrals of a Hamiltonian system with two degrees of freedom
scientific article; zbMATH DE number 5287443

    Statements

    title
    Approximate first integrals of a Hamiltonian system with two degrees of freedom (English)
    0 references
    author
    Gazanfer Ünal
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    publication date
    11 June 2008
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    review text
    Summary: Approximate Noether symmetries of a Hamiltonian system with two degrees of freedom have been determined by incorporating the resonances. Approximate first integrals corresponding to these symmetries have been obtained by utilizing an approximate version of Noether' s theorem. Analytically obtained results have been compared with numerically obtained Poincaré's surface of sections.
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    zbMATH Keywords
    approximate Noether's theorem
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    Pincaré's surface of sections
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    KAM curves
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    Identifiers

    zbMATH DE Number
    5287443
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    OpenAlex ID
    W2415916607
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    DOI
    10.3390/MCA8020151
    0 references
     
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