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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