A topological classification of interval mappings with finitely many discontinuous points
type: Item
instance of: scholarly article
title: A topological classification of interval mappings with finitely many discontinuous points
author: Jinghua Liu
author: Lin Li
published in: Qualitative Theory of Dynamical Systems
publication date: 2022-11-24T00:00:00Z
review text: \textit{J. Liu} and \textit{Y.-G. Shi} [Result. Math. 75, No. 3, Paper No. 90, 15 p. (2020; Zbl 1440.37033)] studied topological conjugacy between monotone interval maps with a single discontinuity. The present paper considers topological conjugacy between monotone interval maps with finitely many discontinuities. This is done by introducing the concept of symbolic vector for discontinuous mappings. Necessary and sufficient conditions for the existence of conjugacies are found as well as explicit expressions for the conjugacies. Lastly, the authors apply their results to study conjugacies between monotone generalized Lorenz maps.
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37C15
zbMATH DE Number: 7622859
zbMATH Keywords: topological conjugacy
zbMATH Keywords: discontinuous map
zbMATH Keywords: symbolic vector
zbMATH Keywords: generalized Lorenz map
reviewed by: Steve Pederson
MaRDI profile type: Publication
full work available at URL: s12346-022-00686-8
OpenAlex ID: W4309343374
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DOI: 10.1007/S12346-022-00686-8
description: scientific article; zbMATH DE number 7622859