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Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition
Authors:Junxiang Xu  Jiangong You
Institution:a Department of Mathematics, Southeast University, Nanjing 210096, PR China
b Department of Mathematics, Nanjing University, Nanjing 210093, PR China
Abstract:In this paper we prove Gevrey smoothness of the persisting invariant tori for small perturbations of an analytic integrable Hamiltonian system with Rüssmann's non-degeneracy condition by an improved KAM iteration method with parameters.
Keywords:Gevrey smoothness  Hamiltonian system  KAM iteration  Non-degeneracy condition
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