Estimates of topological entropy of continuous maps with applications
type: Item
instance of: scholarly article
title: Estimates of topological entropy of continuous maps with applications
zbMATH Open document ID: 1104.37010
DOI: 10.1155/DDNS/2006/18205
author: Xiao-Song Yang
author: Xiaoming Bai
published in: Discrete Dynamics in Nature and Society
publication date: 2006-11-07T00:00:00Z
full work available at URL: https://eudml.org/doc/126876
review text: Summary: We present a simple theory on topological entropy of the continuous maps defined on a compact metric space, and establish some inequalities of topological entropy. As an application of the results of this paper, we give a new simple proof of chaos in the so-called \(N\)-buffer switched flow networks.
Mathematics Subject Classification ID: 37B40
Mathematics Subject Classification ID: 37B10
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 5071105
zbMATH Keywords: symbolic dynamics
zbMATH Keywords: chaos
zbMATH Keywords: periodic orbits
zbMATH Keywords: topological entropy
zbMATH Keywords: \(N\)-buffer switched flow networks
MaRDI profile type: Publication
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OpenAlex ID: W2012495387
description: scientific article; zbMATH DE number 5071105