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
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.
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.