Explicit estimates on the measure of primary KAM tori

2016/12/06 by Biasco, Luca, Chierchia, Luigi
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.01903

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 O(√(ε)), if ε is the size of the perturbation. In this paper we discuss how the constant in front of √(ε) depends on the unperturbed system and in particular on the phase--space domain.

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