On the algebraic properties of exponentially stable integrable Hamiltonian systems

DOI10.5802/afst.1723OpenAlexW4300411255MaRDI QIDQ2103477

Santiago Barbieri

Publication date: 13 December 2022

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09731

zbMATH Keywords

generic geometric propertiesgenericity of steepnessnearly-integrable Hamiltonian system

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ Analytic smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians

Cites Work

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