A Note on the Notions of Topological Entropy

  • Wong Koon Sang School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia
  • Zabidin Salleh School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia
DOI: https://doi.org/10.34198/ejms.1119.0116
Keywords: topological entropy, dynamical systems, induced hyperspaces, set-valued functions

Abstract

Topological entropy is used to determine the complexity of a dynamical system. This paper aims to serve as a stepping stone for the study of topological entropy. We review the notions of topological entropy, give an overview on the relation between the notions and fundamental properties of topological entropy. Besides, we cover the topological entropy of the induced hyperspaces and its connection with the original systems. We also provide a summary on the latest research topic related with topological entropy.

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Published
2018-11-01
How to Cite
Sang , W. K., & Salleh, Z. (2018). A Note on the Notions of Topological Entropy. Earthline Journal of Mathematical Sciences, 1(1), 1-16. https://doi.org/10.34198/ejms.1119.0116
Issue
Vol 1 No 1 (2019)
Section
Articles


This work is licensed under a Creative Commons Attribution 4.0 International License.