Instability of resonant invariant tori in Hamiltonian systems
Dynamical Systems
2015-01-06 v1
Abstract
In this article, we consider the dynamics in a neighborhood of a quasi-periodic torus which is invariant by a Hamiltonian flow, we discuss several notions of stability and we prove several results of instability when the frequency of the invariant torus is resonant.
Cite
@article{arxiv.1501.00759,
title = {Instability of resonant invariant tori in Hamiltonian systems},
author = {Abed Bounemoura},
journal= {arXiv preprint arXiv:1501.00759},
year = {2015}
}