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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
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
Аннотация:
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.
Ключевые слова:
KAM theory, quasi-periodic invariant tori, Whitney smooth families, proper destruction of resonant tori, excitation of elliptic normal modes, reversible context 2.
Поступила в редакцию: 21.04.2017 Принята в печать: 12.09.2017
Образец цитирования:
Mikhail B. Sevryuk, “Families of Invariant Tori in KAM Theory: Interplay of Integer Characteristics”, Regul. Chaotic Dyn., 22:6 (2017), 603–615
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd279 https://www.mathnet.ru/rus/rcd/v22/i6/p603
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