Chaotic behaviour of chain components in bishadowing systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 0996.37023
author: Keonhee Lee
author: Taeyoung Choi
publication date: 2002-11-03T00:00:00Z
Mathematics Subject Classification ID: 37C50
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 1625495
zbMATH Keywords: chain recurrent set
MaRDI profile type: Publication
title: Chaotic behaviour of chain components in bishadowing systems
published in: Journal of the Korean Mathematical Society
review text: Let \(\varphi\) be a homeomorphism of a metric space and let \(C\) be a component of the chain recurrent set CR\((\varphi)\). The authors find conditions (in terms of the bishadowing property [see \textit{P. Kloeden} and \textit{J. Ombach}, Ann. Polon. Math. 65, No. 2, 171-177 (1997; Zbl 0877.58044)]) under which a \(C^0\)-small perturbation of \(\varphi\) is chaotic in a neighborhood of \(C\).
reviewed by: Sergei Yu. Pilyugin
description: scientific article; zbMATH DE number 1625495