A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property

DOI10.1090/proc/15657OpenAlexW3160330079WikidataQ122740989 ScholiaQ122740989MaRDI QIDQ6052131

Zhichao Ma, Junxiang Xu

Publication date: 21 September 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15657

zbMATH Keywords

self-intersectionKAM iterationinvariant closed curvenon-twist mappings

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45) Symplectic and canonical mappings (37J11) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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