Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems (Q1344427)

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scientific article; zbMATH DE number 721779
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Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems
scientific article; zbMATH DE number 721779

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    Bifurcations of invariant tori and subharmonic solutions for periodic perturbed systems (English)
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    30 October 1995
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    The author investigates the periodic perturbation of a planar Hamiltonian system, by use of perturbation methods and Mel'nikov function, a necessary condition for the existence of an invariant torus, and a sufficient condition for the bifurcation of a unique invariant torus and a subharmonic solution are given.
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    periodic perturbation
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    planar Hamiltonian system
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    Mel'nikov function
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    invariant torus
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    bifurcation
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    subharmonic solution
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