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arXiv · 1709.04373

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

Mikhail B. Sevryuk
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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.

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Mikhail B. Sevryuk. 2017-09-13. Families of invariant tori in KAM theory: interplay of integer characteristics. https://doi.org/10.1134/s156035471706003x

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