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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… Click to show full abstract

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.

Keywords: invariant tori; families invariant; tori kam; theory interplay; kam theory

Journal Title: Regular and Chaotic Dynamics
Year Published: 2017

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