Equivalent conditions for hyperbolic coordinates
type: Item
instance of: scholarly article
title: Equivalent conditions for hyperbolic coordinates
zbMATH Open document ID: 0597.58023
DOI: 10.1016/0166-8641(86)90019-2
author: Jerzy Ombach
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author proves, in particular, that a homeomorphism f of a compact metric space X has the pseudo-orbit tracing property (shadowing) and it is expansive if and only if f has hyperbolic coordinates (which are also called coordinates in the case of hyperbolic dynamical systems).
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 3962807
zbMATH Keywords: pseudo-orbit tracing property
zbMATH Keywords: hyperbolic coordinates
zbMATH Keywords: axiom A
zbMATH Keywords: expansiveness
reviewed by: Yuri Kifer
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90019-2
OpenAlex ID: W1982995877
cites work: Q5608685
cites work: Equilibrium states and the ergodic theory of Anosov diffeomorphisms
cites work: Q3799382
cites work: Expansive canonical coordinates are hyperbolic
cites work: Q4185090
description: scientific article; zbMATH DE number 3962807