Estimates of topological entropy of continuous maps with applications.

Discrete Dynamics in Nature and Society | January 1, 2006| | Copyright

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.

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