Existence of Invariant Tori for Differentiable Hamiltonian Vector Fields without Action-Angle Variables

Abstract

We proved the existence of invariant tori in differentiable Hamiltonian vector fields without action-angle variables. It is a generalization of the result of [Llave, 2005] that deals with analytic vector fields.

arXiv comment14 pages, the version 2 modified the theorem 1, added some remarks, references and acknowledgement