Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems

DOI10.1007/S12346-017-0236-1zbMath1402.37072OpenAlexW2602400183MaRDI QIDQ1617219

Shunjun Jiang, Yanling Shi, Bingfeng Wang

Publication date: 7 November 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0236-1

zbMATH Keywords

Hamiltonian systeminvariant toriKAM iterationGevrey-smoothness

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)

Cites Work

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• Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
• Invariant tori for Gevrey-smooth Hamiltonian systems under Rüssmann's nondegeneracy condition
• Integrability of hamiltonian systems on cantor sets
• KAM theorem for Gevrey Hamiltonians

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