A generalization of expansivity
type: Item
instance of: scholarly article
title: A generalization of expansivity
zbMATH Open document ID: 1263.37017
published in: Discrete and Continuous Dynamical Systems
publication date: 2012-03-19T00:00:00Z
review text: The aim of the present paper is to study dynamical systems for which at most \(n\) orbits can accompany a given arbitrary orbit. For simplicity these system are called \(n\)-expansive. The authors prove conditions under which these systems can satisfy properties of expansive systems. It is also proven that a map is positively \(n\)-expansive if and only if it is so outside of finitely many orbits. Finally, for homeomorphisms on compact metric spaces it is shown that \(n\)-expansivity is equivalent to being outside of finitely many orbits.
reviewed by: Juan L. G. Guirao
Mathematics Subject Classification ID: 37B05
Mathematics Subject Classification ID: 37B45
zbMATH DE Number: 6015416
zbMATH Keywords: positively \(n\)-expansive
zbMATH Keywords: \(n\)-expansive
zbMATH Keywords: metric space
author: C. A. Morales
MaRDI profile type: Publication
full work available at URL: dcds.2012.32.293
OpenAlex ID: W2331884710
DOI: 10.3934/DCDS.2012.32.293
description: scientific article; zbMATH DE number 6015416