Quasi-periodic motions on symplectic tori
Dynamical Systems
2020-05-07 v2
Abstract
The KAM (Kolmogorov-Arnold-Moser) theorem guarantees the stability of quasi-periodic invariant tori by perturbation in some Hamiltonian systems. Michel Herman proved a similar result for quasi-periodic motions, with -dimensional involutive manifolds in Hamiltonian systems with degrees of freedom . In this paper, we extend this result to the case of a quasi-periodic motion on symplectic tori .
Cite
@article{arxiv.1805.09201,
title = {Quasi-periodic motions on symplectic tori},
author = {Mauricio Garay and Arezki Kessi and Duco van Straten and Nesrine Yousfi},
journal= {arXiv preprint arXiv:1805.09201},
year = {2020}
}