Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables
Mathematical Physics
2015-06-15 v1 Dynamical Systems
math.MP
Chaotic Dynamics
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1302.6036,
title = {Parametrized KAM Theorem for Differentiable Hamiltonian Vector Fields without Action-Angle Variables},
author = {Wu-hwan Jong and Jin-chol Paek},
journal= {arXiv preprint arXiv:1302.6036},
year = {2015}
}
Comments
13 pages