Statistical properties of a class of deterministic cellular automata

Year: 1989

Authors: Brusa G., Pérez-García C., Puccioni GP., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica – Largo Enrico Fermi 6, 50125 Arcetri, Firenze, Italy;
Department of Physics, University of Firenze, 50125 Firenze, Italy;
Universitat Autonoma de Barcelona, 08193 Bellaterra (Barcelona), Catalonia, Spain

Abstract: We have studied a class of three-state cellular automata (CA) which can develop complex patterns. From the probability distribution of substrings we are able to determine the multifractal nature of this CA and to relate it with some of its grammatical properties.

Journal/Review: EPL

Volume: 8 (8)      Pages from: 735  to: 740

KeyWords: theory and models of chaotic systems; mechanics of discrete systems;
DOI: 10.1209/0295-5075/8/8/005

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