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

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’...

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Bibliographic Details
Published in:Regular & chaotic dynamics 2017-11, Vol.22 (6), p.603-615
Main Author: Sevryuk, Mikhail B.
Format: Article
Language:English
Subjects:
Dynamical Systems and Ergodic Theory
Invariants
Mathematics
Mathematics and Statistics
Toruses
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Summary: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.
ISSN:1560-3547
1560-3547
1468-4845
DOI:10.1134/S156035471706003X