Existence of invariant tori in reversible mappings

DOI10.1007/S10114-019-8111-4zbMath1419.37060OpenAlexW2965707122MaRDI QIDQ2273245

Shengqing Hu

Publication date: 18 September 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-019-8111-4

zbMATH Keywords

invariant toriKAM methodreversible diffeomorphismnondegeneracy conditions

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 involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Unnamed Item
• Existence of invariant tori in three-dimensional measure-preserving mappings
• Existence of KAM tori in degenerate Hamiltonian systems
• Existence of invariant tori in volume-preserving diffeomorphisms
• Invariant curves of quasi-periodic reversible mappings
• Analytic Extensions of Differentiable Functions Defined in Closed Sets

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