Detecting topological transitivity of piecewise monotone interval maps
type: Item
instance of: scholarly article
title: Detecting topological transitivity of piecewise monotone interval maps
zbMATH Open document ID: 1098.37033
author: João Ferreira Alves
author: J. L. Fachada
author: J. Sousa Ramos
published in: Topology and its Applications
publication date: 2006-03-20T00:00:00Z
review text: Let \(\mathcal L(I)\) denote the set of all interval maps \(f\colon~I\rightarrow I\) satisfying: 1) f is piecewise monotone; 2) there exists a homeomorphism \(h\) on \(I\) such that \(h^{-1}\circ f\circ h\) is piecewise linear with slopes \(\pm s\) for some \(s>1\). The authors present an algorithm which enables one to detect the topological transitivity of maps from \(\mathcal L(I)\).
reviewed by: Jozef Bobok
Mathematics Subject Classification ID: 37E05
Mathematics Subject Classification ID: 37B20
zbMATH DE Number: 5013545
zbMATH Keywords: Interval map
zbMATH Keywords: Topological transitivity
zbMATH Keywords: Topological entropy
MaRDI profile type: Publication
full work available at URL: j.topol.2005.01.002
OpenAlex ID: W2064985493
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DOI: 10.1016/J.TOPOL.2005.01.002
description: scientific article; zbMATH DE number 5013545