Gevrey Normal Form and Effective Stability of Lagrangian Tori
Dynamical Systems
2009-09-22 v1
Abstract
A Gevrey symplectic normal form of an analytic and more generally Gevrey smooth Hamiltonian near a Lagrangian invariant torus with a Diophantine vector of rotation is obtained. The normal form implies effective stability of the quasi-periodic motion near the torus.
Keywords
Cite
@article{arxiv.0909.3575,
title = {Gevrey Normal Form and Effective Stability of Lagrangian Tori},
author = {Todor Mitev and Georgi Popov},
journal= {arXiv preprint arXiv:0909.3575},
year = {2009}
}