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On the Rotatıon Entropy of Additive Cellular Automata f_∞
Current Issue
Volume 3, 2015
Issue 3 (June)
Pages: 70-73   |   Vol. 3, No. 3, June 2015   |   Follow on         
Paper in PDF Downloads: 16   Since Aug. 28, 2015 Views: 1803   Since Aug. 28, 2015
Authors
[1]
Bunyamin Aydin, Necmettin Erbakan University, Education of Faculty, Konya, Turkey.
Abstract
In this paper, we first introduce the definition of rotational sets for cellular automata f_∞ using Misiurewicz’s rotational sets. After that, we define rotational entropy functions for cellular automata f_∞ from Bowen’s definiton of rotational entropy. Finally, we compare rotational entropy function with topologic entropy function for cellular automata f_∞.
Keywords
Rotation Entropy, Topological Entropy, Cellular Automata
Reference
[1]
Botelho,F.(1991). Rotattion Entropy for annulus homeomorhphisms, Pacific J. Math., 132: 1-19.
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Misiurewicz,M. and Ziemian,K.(1989). Rotationses for maps of tori, J. London Math. Soc. 40 (2): 490-506.
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