A KAM theorem for a class of nearly integrable symplectic mappings

DOI10.1007/s10884-015-9427-0zbMath1370.37117OpenAlexW2043261587MaRDI QIDQ523089

Junxiang Xu, Xuezhu Lu, Jia Li

Publication date: 20 April 2017

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-015-9427-0

zbMATH Keywords

invariant torinon-degeneracy conditionsKAM iterationsymplectic mappings

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) 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 (5)

A KAM theorem for lower dimensional elliptic invariant tori of nearly integrable symplectic mappings ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps ⋮ Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems ⋮ Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions

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