\(a\)-Hölder linearization
type: Item
instance of: scholarly article
title: \(a\)-Hölder linearization
zbMATH Open document ID: 0941.37008
author: Victoria Rayskin
published in: Journal of Differential Equations
publication date: 1998-10-18T00:00:00Z
review text: This paper deals with a generalization of the Hartman and Grobman theorem. It is shown that for any \(\alpha\in (0,1)\) there exists an \(\alpha\)-Hölder linearization of the Hartman map in a neighborhood of 0. Note that no resonance condition is required. The author concludes the paper with an interesting conjecture.
Mathematics Subject Classification ID: 37C15
Mathematics Subject Classification ID: 37C20
zbMATH DE Number: 1212346
zbMATH Keywords: Hölder linearization
zbMATH Keywords: Hartman and Grobman theorem
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: jdeq.1997.3410
OpenAlex ID: W2024254539
cites work: Q4888791
cites work: Q5330830
cites work: A Lemma in the Theory of Structural Stability of Differential Equations
cites work: Q5334495
cites work: On a Theorem of P. Hartman
cites work: On the Structure of Local Homeomorphisms of Euclidean n-Space, II
cites work: Smooth linearization of hyperbolic fixed points without resonance conditions
DOI: 10.1006/JDEQ.1997.3410
description: scientific article; zbMATH DE number 1212346