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Discrete Dynamics in Nature and Society
Volume 2006, Article ID 18205, 10 pages

Estimates of topological entropy of continuous maps with applications

Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China

Received 27 September 2005; Accepted 19 December 2005

Copyright © 2006 Xiao-Song Yang and Xiaoming 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.


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.