Existence of Invariant Tori for Differentiable Hamiltonian Vector Fields without Action-Angle Variables
Mathematical Physics
2013-06-25 v2 Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.1208.2083,
title = {Existence of Invariant Tori for Differentiable Hamiltonian Vector Fields without Action-Angle Variables},
author = {Wu-Hwan Jong and Jin-Chol Paek},
journal= {arXiv preprint arXiv:1208.2083},
year = {2013}
}
Comments
14 pages, the version 2 modified the theorem 1, added some remarks, references and acknowledgement