This article is cited in 3 papers

Herman's approach to quasi-periodic perturbations in the reversible KAM context 2

Mikhail B. Sevryuk

Talroze Institute of Energy Problems of Chemical Physics, The Russia Academy of Sciences, Leninskii prospect 38, Bldg. 2, Moscow 119334, Russia

Abstract: We revisit non-autonomous systems depending quasi-periodically in time within the reversible context 2 of KAM theory and obtain Whitney smooth families of invariant tori in such systems via Herman's method. The reversible KAM context 2 refers to the situation where the dimension of the fixed point manifold of the reversing involution is less than half the codimension of the invariant torus in question.

Key words and phrases: KAM theory, reversible context 2, Herman's method, invariant tori, Whitney smooth families.

MSC: 70K43, 70H33

Language: English

DOI: 10.17323/1609-4514-2017-17-4-803-823

Bibliographic databases:

•