The classical KAM theorem for Hamiltonian systems via rational approximations

DOI10.1134/S1560354714020087zbMath1339.37042arXiv1401.7099OpenAlexW2028244819MaRDI QIDQ2513966

Abed Bounemoura, Stéphane Fischler

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7099

zbMATH Keywords

periodic approximationsDiophantine duality

Mathematics Subject Classification ID

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) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (6)

Quantum kicked rotor and its variants: chaos, localization and beyond ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ Quasi-effective stability for nearly integrable Hamiltonian systems ⋮ A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori ⋮ Hamiltonian perturbation theory for ultra-differentiable functions

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