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.