On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems

DOI10.4171/RLM/713zbMath1361.37059arXiv1503.08145MaRDI QIDQ900704

Luca Biasco, Luigi Chierchia

Publication date: 22 December 2015

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/1503.08145

zbMATH Keywords

normal formsKAM theorynearly-integrable Hamiltonian systems

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Cites Work

• Unnamed Item
• Explicit estimates on the measure of primary KAM tori
• Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Lagrangian tori near resonances of near-integrable Hamiltonian systems
• Integrability of hamiltonian systems on cantor sets

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