Linearization of vector fields near resonant hyperbolic rest points

DOI10.1006/jdeq.1995.1076zbMath0829.34006OpenAlexW1978378162MaRDI QIDQ1891315

Mohamed Sami ElBialy

Publication date: 17 January 1996

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

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1076

zbMATH Keywords

topological linearizationanalytic linearizationlinearizing a vector fieldPoincaré-Siegel theorem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

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Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem ⋮ Properties of an optimal linearization transformation ⋮ Takens theorem for random dynamical systems ⋮ On pseudo-stable and pseudo-unstable manifolds for maps ⋮ Normal forms for nonautonomous differential equations

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