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Estimates of topological entropy of continuous maps with applications

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  • Xiao-Song Yang
  • Xiaoming Bai

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.

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  • Xiao-Song Yang & Xiaoming Bai, 2006. "Estimates of topological entropy of continuous maps with applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2006, pages 1-10, May.
    • Handle: RePEc:hin:jnddns:018205
    DOI: 10.1155/DDNS/2006/18205
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