Chaos and entropy for graph maps
type: Item
instance of: scholarly article
title: Chaos and entropy for graph maps
zbMATH Open document ID: 1066.37026
author: Megumi Miyazawa
published in: Tokyo Journal of Mathematics
publication date: 2005-01-04T00:00:00Z
review text: It is well known that for any continuous map of a compact interval into itself, its chaoticity in the sense of Devaney is equivalent to its positive entropy. This fact holds also for maps of the circle. The author generalizes these results to graph maps. The author shows that the notions of positive entropy, chaos in the sense of Devaney and \(\omega\)-chaos are equivalent for the graph maps.
Mathematics Subject Classification ID: 37E25
Mathematics Subject Classification ID: 54H20
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37B40
zbMATH DE Number: 2124830
zbMATH Keywords: chaos
zbMATH Keywords: entropy
zbMATH Keywords: graph maps
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208486
OpenAlex ID: W2086320331
DOI: 10.3836/TJM/1244208486
description: scientific article; zbMATH DE number 2124830