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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 6, Pages 603–615
DOI: https://doi.org/10.1134/S156035471706003X (Mi rcd279) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Families of Invariant Tori in KAM Theory: Interplay of Integer Characteristics

Mikhail B. Sevryuk

V. L. Talroze Institute of Energy Problems of Chemical Physics of the Russia Academy of Sciences, Leninskii pr. 38, Building 2, Moscow, 119334 Russia
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DOI: https://doi.org/10.1134/S156035471706003X
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: KAM theory, quasi-periodic invariant tori, Whitney smooth families, proper destruction of resonant tori, excitation of elliptic normal modes, reversible context 2.
Received: 21.04.2017
Accepted: 12.09.2017
Bibliographic databases:
Document Type: Article
MSC: 37J40, 70H08, 70H33, 70K43
Language: English
Citation: Mikhail B. Sevryuk, “Families of Invariant Tori in KAM Theory: Interplay of Integer Characteristics”, Regul. Chaotic Dyn., 22:6 (2017), 603–615
Citation in format AMSBIB
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\by Mikhail B. Sevryuk
\paper Families of Invariant Tori in KAM Theory: Interplay of Integer Characteristics
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 6
\pages 603--615
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