A geometrical interpretation of the chaotic state of inhomogeneous deterministic cellular automata

We propose a geometrical interpretation of the chaotic state of inhomogeneous cellular automata. From the rules of the cellular automaton we construct a network. The percolating phase of this network coincides with the chaotic phase of the cellular automaton. We also report numerical tests of these ideas on several cellular automata.

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Year of publication:	1989
Authors:	Hansen, Alex ; Roux, Stéphane
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 160.1989, 3, p. 275-297
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010587451