A renormalization approach to lower-dimensional tori with Brjuno frequency vectors

DOI10.1016/j.jde.2010.05.004zbMath1214.37043OpenAlexW1967490683MaRDI QIDQ710525

Saša Kocić, Hans Koch

Publication date: 19 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.05.004

zbMATH Keywords

perturbationintegrabilityvector fieldHamiltonian flowinvariant torusanalytic manifoldsBrjuno frequency vector

Mathematics Subject Classification ID

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)

Related Items (5)

Reducibility of quasi-periodically forced circle flows ⋮ A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori ⋮ Linearization of Gevrey flows on \(\mathbb{T}^d\) with a Brjuno type arithmetical condition ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems

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