Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation

DOI10.1017/etds.2021.71zbMath1495.37052arXiv2103.13535OpenAlexW3139313596WikidataQ114118719 ScholiaQ114118719MaRDI QIDQ5027315

Rafael de la Llave, Maria Saprykina

Publication date: 4 February 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13535

zbMATH Keywords

Birkhoff normal formsymplectic mapsnearly integrable Hamiltonian systemsconvergence of the normalizing transformations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical systems methods for problems in mechanics (70G60) Symplectic and canonical mappings (37J11)

Related Items (1)

Noncommutative coboundary equations over integrable systems

Cites Work

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