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Theoretical Computer Science
Volume 304, Issues 1-3, 28 July 2003, Pages 269-290
 
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doi:10.1016/S0304-3975(03)00134-8    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier B.V. All rights reserved.

Number conserving cellular automata II: dynamics

Enrico FormentiCorresponding Author Contact Information, E-mail The Corresponding Author, a and Aristide GrangeE-mail The Corresponding Author, b

a Laboratoire d'Informatique Fondamentale de Marseille (LIF), Centre de Mathématique et Informatique (CMI), 39 rue Joliot-Curie, 13453, Marseille Cedex 13, France b Laboratoire d'Informatique Théorique et Appliquée (LITA), Université de Metz, Île du Saulcy, 57045, Metz Cedex 01, France

Received 25 November 2002; 
revised 3 February 2003; 
accepted 11 February 2003;
Communicated by B. Durand 
Available online 25 March 2003.

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Abstract

In this second part, we study the dynamics of the number conserving cellular automata. We give a classification which focuses on pattern divergence and chaoticity. Moreover we prove that in the case of number-conserving cellular automata, surjectivity is equivalent to regularity. As a byproduct we obtain a strong characterization of the class of cellular automata with bounded evolutions on finite configurations.

Author Keywords: Discrete dynamical systems; Cellular automata; Classification


 
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