The Gevrey normalization for quasi-periodic systems under Siegel type small divisor conditions

DOI10.1016/j.jde.2022.10.015OpenAlexW4306709995MaRDI QIDQ2101058

Shou-Jun Xu, Hao Wu

Publication date: 28 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.015

zbMATH Keywords

normal formquasi-periodic systemGevrey normalizationSiegel small divisor condition

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Cites Work

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• Normal Form and Linearization for Quasiperiodic Systems
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• There exist no gaps between Gevrey differentiable and nowhere Gevrey differentiable
• KAM theorem for Gevrey Hamiltonians

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