\(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\)

DOI10.1006/jdeq.1999.3693zbMath0978.37012OpenAlexW2068961441MaRDI QIDQ1566841

Bin Tan

Publication date: 24 October 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3693

zbMATH Keywords

Grobman-Hartman theoremHölder continuous linearization

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15)

Related Items (9)

On invariant manifolds and invariant foliations without a spectral gap ⋮ Linearization of class \(C^{1}\) for contractions on Banach spaces ⋮ Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms ⋮ Differentiability of the conjugacy in the Hartman-Grobman Theorem ⋮ A Siegel theorem for periodic difference systems ⋮ Linearization and invariant manifolds on the carrying simplex for competitive maps ⋮ -Hölder linearization of hyperbolic diffeomorphisms with resonance ⋮ Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy ⋮ On Hölder dependence of the parameterized Hartman-Grobman theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local \(C^n\) transformations of the real line
• Smooth linearization of hyperbolic fixed points without resonance conditions
• Linearization in two dimensions
• Smooth invariant foliations in infinite dimensional spaces
• Smooth linearization of vector fields near invariant manifolds
• Invariant foliations for \(C^1\) semigroups in Banach spaces
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Smooth Linearization Near a Fixed Point
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• On the Local Linearization of Differential Equations
• Invariant manifolds

This page was built for publication: \(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\)