Journal
MOSCOW MATHEMATICAL JOURNAL
Volume 17, Issue 4, Pages 803-823Publisher
INDEPENDENT UNIV MOSCOW-IUM
DOI: 10.17323/1609-4514-2017-17-4-803-823
Keywords
KAM theory; reversible context 2; Herman's method; invariant tori; Whitney smooth families
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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.
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