Weighted Information Function of Dynamical Systems

Volume 10, Issue 1, pp 72-77 http://dx.doi.org/10.22436/jmcs.010.01.07

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Authors

Uosef Mohamadi - Department of Mathematics, Faculty of Mathematics and Computer.

Abstract

In this paper we prove that the local information function of a dynamical systems affine. We also introduce the concept of weighted information function for continuous dynamical systems on compact metric spaces, and prove some of its properties. At the end we prove that the weighted information function is invariant under isomorphism.

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Keywords

• Dynamical systems
• generator
• weighted information function
• local information function
• invariant.

MSC

•  94A15
•  91G80

References

• [1] J. R. Brown , Ergodic theory and Topological Dynamics, Academic Pres, New York (1976)
  • Google Scholar


• [2] M. Ebrahimi, U. Mohamadi, m-Generators of fuzzy dynamical systems, Cankaya University Journal of Science and Engineering, 9 (2012), 167-182.
  • Google Scholar


• [3] I. Guney, I. Tok, M. Yamankaradeniz, On the fuzzy local information function, Balkan Journal of Mathematics, 01 (2013), 44-60.


• [4] I. Tok, On the fuzzy local entropy function, E. U. J.Sci. Fac.Series A(Math), 44 (2005)


• [5] B. McMillan, The basic theorems of information theory, Anal. Math. Stat., 24 (1953), 196-219.
  • Google Scholar


• [6] R. Phelps, Lectures on Choquets Theorem, D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto, Ont.-London (1966)
  • MathSciNet
  • Google Scholar


• [7] C. Shannon , A mathematical theory of communication , Bell Syst Tech Journal, 27 (1948), 379-423.
  • Google Scholar


• [8] P. Walters, An Introduction to Ergodic Theory, Springer Verlag, (1982)
  • MathSciNet
  • Google Scholar


• [9] A. Zamani Bahabadi, Another proof for existence of dominated splitting for robustly ergodic diffieomorphisms, Journal of mathematics and computer science, 6 (2013), 13-17.
  • Google Scholar