| In this thesis,we prove a general KAM theorem for nearly integrable Hamiltonian systems without nondegeneracy condition assumption.Many of KAM results(including the classical KAM theorem)are special cases of our theorems under some nondegeneracy conditions and smoothness conditions.The results of this thesis generalize Diophantine non-resonance conditions in[5]to the weaker Bruno-Rüssmann non-resonance conditions. |
