Weighted Information Function of Dynamical Systems
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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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ISRP Style
Uosef Mohamadi, Weighted Information Function of Dynamical Systems, Journal of Mathematics and Computer Science, 10 (2014), no. 1, 72-77
AMA Style
Mohamadi Uosef, Weighted Information Function of Dynamical Systems. J Math Comput SCI-JM. (2014); 10(1):72-77
Chicago/Turabian Style
Mohamadi, Uosef. "Weighted Information Function of Dynamical Systems." Journal of Mathematics and Computer Science, 10, no. 1 (2014): 72-77
Keywords
- Dynamical systems
- generator
- weighted information function
- local information function
- invariant.
MSC
References
-
[1]
J. R. Brown , Ergodic theory and Topological Dynamics, Academic Pres, New York (1976)
-
[2]
M. Ebrahimi, U. Mohamadi, m-Generators of fuzzy dynamical systems, Cankaya University Journal of Science and Engineering, 9 (2012), 167-182.
-
[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.
-
[6]
R. Phelps, Lectures on Choquets Theorem, D. Van Nostrand Co., Inc., Princeton, N. J.-Toronto, Ont.-London (1966)
-
[7]
C. Shannon , A mathematical theory of communication , Bell Syst Tech Journal, 27 (1948), 379-423.
-
[8]
P. Walters, An Introduction to Ergodic Theory, Springer Verlag, (1982)
-
[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.