Instabilities of invariant quasi-periodic tori

DOI10.4171/JEMS/1206MaRDI QIDQ2098201

Bassam Fayad, Gerard Farré

Publication date: 17 November 2022

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01575

zbMATH Keywords

stabilityHamiltonian systemsKAM theoryNekhoroshev theoryBirkhoff normal formsquasi-periodic invariant tori

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (3)

Positive measure of effective quasi-periodic motion near a Diophantine torus ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ Super-exponential stability for generic real-analytic elliptic equilibrium points

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