Gevrey smooth topology is proper to detect normalization under Siegel type small divisor conditions

DOI10.1007/s00209-016-1698-6zbMath1380.37102OpenAlexW2395389915WikidataQ59463121 ScholiaQ59463121MaRDI QIDQ343656

Hao Wu

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1698-6

zbMATH Keywords

normal formGevrey normalizationSiegel conditionsmall divisor

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Related Items

Normalization, optimal regularity, and solvability in Gevrey classes of vector fields near trapped orbits ⋮ On the ultradifferentiable normalization ⋮ The geometrical demonstration of the order of resonant saddle points in \(\mathbb{C}^2\) ⋮ The Gevrey normalization for quasi-periodic systems under Siegel type small divisor conditions

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• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$

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