Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables

Abstract

We proved a parametrized KAM theorem in Hamiltonian system which has differentiable Hamiltonian without action-angle coordinates. It is a generalization of the result of [Llave et al. 2005] that deals with real analytic Hamiltonians.

arXiv comment13 pages

Cited by in corpus (1)

• A KAM theorem for generalized Hamiltonian systems without action-angle variables