The persistence of elliptic lower dimensional tori with prescribed frequency for Hamiltonian systems

DOI10.14232/EJQTDE.2015.1.10zbMath1349.37060OpenAlexW2101703143MaRDI QIDQ2803132

Xuezhu Lu, Junxiang Xu, Yuedong Kong

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.10

zbMATH Keywords

Hamiltonian systeminvariant toriKAM iterationnon-degeneracy condition

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Orbit growth in dynamical systems (37C35)

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