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Families of invariant tori in KAM theory: Interplay of integer characteristics

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The purpose of this brief note is twofold. First, we summarize in a very concise form the principal information on Whitney smooth families of quasi-periodic invariant tori in various contexts of KAM theory. Our second goal is to attract (via an informal discussion and a simple example) the experts’ attention to the peculiarities of the so-called excitation of elliptic normal modes in the reversible context 2.

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  1. V. L. Talroze Institute of Energy Problems of Chemical Physics of the Russia Academy of Sciences, Leninskii pr. 38, Building 2, Moscow, 119334, Russia

    Mikhail B. Sevryuk

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Sevryuk, M.B. Families of invariant tori in KAM theory: Interplay of integer characteristics. Regul. Chaot. Dyn. 22, 603–615 (2017). https://doi.org/10.1134/S156035471706003X

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