There is only one KAM curve

DOI10.1088/0951-7715/27/9/2035zbMath1350.37051arXiv1104.2979OpenAlexW2963871691MaRDI QIDQ2924836

Carlo Carminati, Stefano Marmi, David Sauzin

Publication date: 17 October 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2979

zbMATH Keywords

KAM theorysmall divisorstwist mapsWhitney differentiabilityBorel's monogenic functionsquasianalytic spaces

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical aspects of twist maps (37E40) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (6)

On the divergence of Birkhoff normal forms ⋮ Explicit linearization of one-dimensional germs through tree-expansions ⋮ Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ Generalised continuation by means of right limits ⋮ On the regularity of Mather's \(\beta\)-function for standard-like twist maps ⋮ Uniqueness properties of the KAM curve

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