arXiv:1812.04163 Abstract | arXiv Analytics

arXiv:1812.04163 [math.DS]Abstract References Reviews Resources

KAM tori are no more than sticky

Published 2018-12-11Version 1

When a Gevrey smooth perturbation is applied to a quasi-convex integrable Hamiltonian, it is known that the KAM invariant tori that survive are sticky, that is, doubly exponentially stable. We show by examples the optimality of this effective stability.

Comments: 35 pages

Categories: math.DS

Subjects: 37J25

Keywords: kam tori, gevrey smooth perturbation, kam invariant tori, quasi-convex integrable hamiltonian, optimality

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