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Systèmes dynamiques non autonomes: Démonstration d'un théorème de Pustyl'nikov. (Non-autonomous dynamical systems: A proof of a theorem of Pustyl'nikov) - MaRDI portal

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Systèmes dynamiques non autonomes: Démonstration d'un théorème de Pustyl'nikov. (Non-autonomous dynamical systems: A proof of a theorem of Pustyl'nikov) (Q908565)

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scientific article; zbMATH DE number 4135068
Language Label Description Also known as
English
Systèmes dynamiques non autonomes: Démonstration d'un théorème de Pustyl'nikov. (Non-autonomous dynamical systems: A proof of a theorem of Pustyl'nikov)
scientific article; zbMATH DE number 4135068

    Statements

    Systèmes dynamiques non autonomes: Démonstration d'un théorème de Pustyl'nikov. (Non-autonomous dynamical systems: A proof of a theorem of Pustyl'nikov) (English)
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    1989
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    This paper gives a proof of a theorem of L. D. Pustyl'nikov asserting that periodic orbits of non-autonomous dynamical systems in dimension 3 are stable when the asymptotic behavior is that of a Hamiltonian system with two degrees of freedom which satisfies the hypothesis of the Kolmogorov-Arnol'd-Moser theorem.
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    stability
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    periodic orbits
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    non-autonomous dynamical systems
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    Kolmogorov- Arnol'd-Moser theorem
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