Discrete Dynamics in Nature and Society 
Volume 2006 (2006), Article ID 18205, 10 pages
doi:10.1155/DDNS/2006/18205

Estimates of topological entropy of continuous maps with applications

Xiao-Song Yang and Xiaoming Bai

 Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
Received 27 September 2005; Accepted 19 December 2005

Abstract

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.