Journal
REGULAR & CHAOTIC DYNAMICS
Volume 22, Issue 6, Pages 603-615Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S156035471706003X
Keywords
KAM theory; quasi-periodic invariant tori; Whitney smooth families; proper destruction of resonant tori; excitation of elliptic normal modes; reversible context 2
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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.
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