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arXiv · 1612.01903

Explicit estimates on the measure of primary KAM tori

Luca Biasco·Luigi Chierchia
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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 $O(\sqrt{\varepsilon})$, if $\varepsilon$ is the size of the perturbation. In this paper we discuss how the constant in front of $\sqrt{\varepsilon}$ depends on the unperturbed system and in particular on the phase--space domain.

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Luca Biasco, Luigi Chierchia. 2016-12-06. Explicit estimates on the measure of primary KAM tori. https://arxiv.org/abs/1612.01903

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