Quasi-periodic motions in generic nearly-integrable mechanical systems

DOI10.4171/RLM/981MaRDI QIDQ2694440

Luigi Chierchia, Luca Biasco

Publication date: 3 April 2023

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01055

zbMATH Keywords

normal formsKAM theorynearly-integrable Hamiltonian systems

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) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Complex Arnol'd-Liouville maps ⋮ Global properties of generic real-analytic nearly-integrable Hamiltonian systems

Cites Work

• Unnamed Item
• Explicit estimates on the measure of primary KAM tori
• On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems
• On the measure of KAM tori in two degrees of freedom
• Lagrangian tori near resonances of near-integrable Hamiltonian systems
• On the topology of nearly-integrable Hamiltonians at simple resonances
• Measure and Capacity of Wandering Domains in Gevrey Near-integrable Exact Symplectic Systems

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