Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions

DOI10.1007/s11464-020-0838-9zbMath1446.37058OpenAlexW3031197106MaRDI QIDQ777101

Junxiang Xu, Kun Wang

Publication date: 3 July 2020

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-020-0838-9

zbMATH Keywords

area-preserving mappingKAM iterationnon-degeneracy conditioninvariant curve

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (2)

Lagrange stability for asymptotic linear Duffing equations ⋮ A Moser’s non-twist theorem for nearly integrable mappings with self-intersection property

Cites Work

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