Positive entropy on nonautonomous interval maps and the topology of the inverse limit space
type: Item
instance of: scholarly article
title: Positive entropy on nonautonomous interval maps and the topology of the inverse limit space
zbMATH Open document ID: 1117.37011
author: Christopher Mouron
published in: Topology and its Applications
publication date: 2007-03-08T00:00:00Z
review text: Entropy of nonautonomous maps, i.e. of sequences \(\{f_i\}_{i=0}^{\infty}\) of the interval is defined on two ways. Under one definition, called forward entropy, it is shown that positive entropy implies that the inverse limit space contains an indecomposable subcontinuum. Under the second definition, called backwards entropy, it is shown that the inverse limit space is not locally connected.
reviewed by: Jerzy Ombach
Mathematics Subject Classification ID: 37B55
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37E05
zbMATH DE Number: 5131641
zbMATH Keywords: nonautonomous maps
MaRDI profile type: Publication
full work available at URL: j.topol.2006.09.015
OpenAlex ID: W2105201681
cites work: Topological Entropy
cites work: Chaos, Periodicity, and Snakelike Continua
cites work: Q4342896
cites work: Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua
cites work: On one class of solutions of a countable quasilinear system of differential equations with slowly varying parameters
DOI: 10.1016/J.TOPOL.2006.09.015
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description: scientific article; zbMATH DE number 5131641