Comments on Poincaré theorem for quasi-periodic systems

DOI10.3934/CPAA.2022115OpenAlexW4286542922MaRDI QIDQ2691514

Tian Wang, Hao Wu, Zhi-hua Ren

Publication date: 29 March 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022115

zbMATH Keywords

normal formPoincaré theoremquasi-periodic system

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Cites Work

• Uniform methods to establish Poincaré type linearization theorems
• Poincaré type theorems for non-autonomous systems
• Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Normal forms for nonautonomous differential equations
• Normal Form and Linearization for Quasiperiodic Systems

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