Explicit estimates on the measure of primary KAM tori

DOI10.1007/s10231-017-0678-8zbMath1456.37063arXiv1612.01903OpenAlexW2587286757MaRDI QIDQ681692

Luigi Chierchia, Luca Biasco

Publication date: 13 February 2018

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01903

zbMATH Keywords

KAM theoryHamiltonian dynamicsinvariant torinearly integrable systems

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) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

On the co-orbital motion in the three-body problem: existence of quasi-periodic horseshoe-shaped orbits ⋮ Complex Arnol'd-Liouville maps ⋮ On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems ⋮ On the topology of nearly-integrable Hamiltonians at simple resonances ⋮ Quasi-periodic motions in generic nearly-integrable mechanical systems ⋮ On the measure of KAM tori in two degrees of freedom ⋮ V. I. Arnold's ``Global KAM theorem and geometric measure estimates ⋮ Exponential stability in the perturbed central force problem ⋮ V. I. Arnold's ``Pointwise KAM theorem

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