Existence of invariant tori for differentiable Hamiltonian vector fields without action-angle variables

DOI10.1016/j.chaos.2014.08.002zbMath1354.37072arXiv1208.2083OpenAlexW1580591002MaRDI QIDQ506658

Jin Chol Paek, Wu Hwan Jong

Publication date: 1 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2083

zbMATH Keywords

invariant toriHamiltonian vector fields without action-angle variables

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• KAM stability for a three-body problem of the Solar system
• Analytic smoothing of geometric maps with applications to KAM theory
• Invariant tori in the Sun-Jupiter-Saturn system
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Applications of KAM theory to population dynamics
• KAM theory without action-angle variables
• Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman)
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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