Poincaré type theorems for non-autonomous systems
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Publication:952530
DOI10.1016/J.JDE.2008.05.005zbMath1184.34005OpenAlexW2019297309MaRDI QIDQ952530
Publication date: 12 November 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.05.005
Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)
Related Items (9)
Proportional Local Assignability of the Dichotomy Spectrum of One-Sided Discrete Time-Varying Linear Systems ⋮ Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems ⋮ General laws of the analytic linearization for random diffeomorphisms ⋮ Comments on Poincaré theorem for quasi-periodic systems ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations ⋮ Partial linearization for planar nonautonomous differential equations ⋮ Formal and analytic normal forms for non-autonomous difference systems with uniform dichotomy spectrum ⋮ Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy
Cites Work
- 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
- Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows
- Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
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