Families of invariant tori in KAM theory: interplay of integer characteristics
arXiv:1709.04373 · doi: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.
19 pages