This article is cited 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

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.

MSC: 37J40, 70H08, 70H33, 70K43

Received: 21.04.2017
Accepted: 12.09.2017

Language: English

DOI: 10.1134/S156035471706003X

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