KAM tori are no more than sticky

DOI10.1007/s00205-020-01526-2zbMath1447.37060arXiv1812.04163OpenAlexW3023207710MaRDI QIDQ2190724

David Sauzin, Bassam Fayad

Publication date: 22 June 2020

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04163

zbMATH Keywords

KAM invariant toriGevrey smooth perturbationquasi-convex integrable Hamiltonian

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

On the fragility of periodic tori for families of symplectic twist maps, On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Super-exponential stability for generic real-analytic elliptic equilibrium points

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