Explicit estimates on the measure of primary KAM tori
Dynamical Systems
2016-12-07 v1
Abstract
From KAM Theory it follows that the measure of phase points which do not lie on Diophantine, Lagrangian, "primary" tori in a nearly--integrable, real--analytic Hamiltonian system is , if is the size of the perturbation. In this paper we discuss how the constant in front of depends on the unperturbed system and in particular on the phase--space domain.
Cite
@article{arxiv.1612.01903,
title = {Explicit estimates on the measure of primary KAM tori},
author = {Luca Biasco and Luigi Chierchia},
journal= {arXiv preprint arXiv:1612.01903},
year = {2016}
}