Families of invariant tori in KAM theory: interplay of integer characteristics

Autor: Sevryuk, Mikhail B.
Rok vydání: 2017
Předmět:
Zdroj: Regular and Chaotic Dynamics, 2017, Vol. 22, No. 6, pp. 603-615
Druh dokumentu: Working Paper
DOI: 10.1134/S156035471706003X
Popis: 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.
Comment: 19 pages
Databáze: arXiv