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arXiv · 1612.07653

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

Mikhail B. Sevryuk
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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.

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Mikhail B. Sevryuk. 2016-12-22. Herman's approach to quasi-periodic perturbations in the reversible KAM context 2. https://arxiv.org/abs/1612.07653

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