KAM, α-Gevrey regularity and the α-Bruno-Rüssmann condition

DOI10.2422/2036-2145.201707_009zbMath1475.37067arXiv1705.06909OpenAlexW2771653140MaRDI QIDQ3299395

Abed Bounemoura, Jacques Féjoz

Publication date: 22 July 2020

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06909

zbMATH Keywords

Gevrey classsmooth Hamiltonian systemsBruno-Rüssmann condition

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

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