Email this article Families of invariant tori in KAM theory: Interplay of integer characteristics
- Authors: Sevryuk M.B.1
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Affiliations:
- V. L. Talroze Institute of Energy Problems of Chemical Physics of the Russia Academy of Sciences
- Issue: Vol 22, No 6 (2017)
- Pages: 603-615
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218742
- DOI: https://doi.org/10.1134/S156035471706003X
- ID: 218742
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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.
About the authors
Mikhail B. Sevryuk
V. L. Talroze Institute of Energy Problems of Chemical Physics of the Russia Academy of Sciences
Author for correspondence.
Email: 2421584@mail.ru
Russian Federation, Leninskii pr. 38, Building 2, Moscow, 119334
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