Dynamical systems which realize given random bi-sequences of points on their orbits
type: Item
instance of: scholarly article
title: Dynamical systems which realize given random bi-sequences of points on their orbits
zbMATH Open document ID: 1223.54050
author: Hisao Kato
published in: Topology and its Applications
publication date: 2011-07-07T00:00:00Z
full work available at URL: https://tsukuba.repo.nii.ac.jp/
review text: In this paper a rather general orbit-realization result is found in the \(C^0\) setting. For suitable compact spaces it is shown that for any bi-infinite sequence of (necessarily) distinct points there is a \(C^0\) map of the space which realizes those points along an orbit. The natural question of the extent to which smooth versions of these results may exist is raised.
reviewed by: Thomas B. Ward
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 57Q40
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37B99
zbMATH DE Number: 5918206
zbMATH Keywords: dynamical system
zbMATH Keywords: orbit realization
zbMATH Keywords: transitive map
MaRDI profile type: Publication
OpenAlex ID: W2017861572
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DOI: 10.1016/J.TOPOL.2011.04.004
description: scientific article; zbMATH DE number 5918206