English

KAM tori are no more than sticky

Dynamical Systems 2018-12-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1812.04163,
  title  = {KAM tori are no more than sticky},
  author = {Bassam Fayad and David Sauzin},
  journal= {arXiv preprint arXiv:1812.04163},
  year   = {2018}
}

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35 pages