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arXiv · 1504.00726

General KAM theorems and their applications to invariant tori with prescribed frequencies

Junxiang Xu·Xuezhu Lu
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Abstract

In this paper we develop some new KAM-technique to prove two general KAM theorems for nearly integrable hamiltonian systems without assuming any non-degeneracy condition. Many of KAM-type results (including the classical KAM theorem) are special cases of our theorems under some non-degeneracy condition and some smoothness condition. Moreover, we can obtain some interesting results about KAM tori with prescribed frequencies.

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Junxiang Xu, Xuezhu Lu. 2015-04-09. General KAM theorems and their applications to invariant tori with prescribed frequencies. https://doi.org/10.1134/s1560354716010068

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