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Article: Estimates of topological entropy of continuous maps with applications.
- Article from:
- Discrete Dynamics in Nature and Society
- Article date:
- January 1, 2006
- Author:
CopyrightCOPYRIGHT 2006 Hindawi Publishing Corp. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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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.
Copyright [C] 2006 X.-S. Yang and X. Bai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
1. Introduction
Topological entropy can be an indicator of complicated (chaotic) behavior in ...