Normal forms, stability and splitting of invariant manifolds. I: Gevrey Hamiltonians

DOI10.1134/S1560354713030040zbMath1418.37099arXiv1212.1274WikidataQ114074884 ScholiaQ114074884MaRDI QIDQ359003

Abed Bounemoura

Publication date: 9 August 2013

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

Full work available at URL: https://arxiv.org/abs/1212.1274

zbMATH Keywords

normal formsperturbation of integrable Hamiltonian systemssplitting of invariant manifolds

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) (C^infty)-functions, quasi-analytic functions (26E10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

Generic perturbations of linear integrable Hamiltonian systems, Nekhoroshev's estimates for quasi-periodic time-dependent perturbations, Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians, 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, A Nekhoroshev type theorem for the nonlinear wave equation in Gevrey space, The classical KAM theorem for Hamiltonian systems via rational approximations, Non-degenerate Liouville tori are KAM stable, Hamiltonian perturbation theory for ultra-differentiable functions

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