MOTION REPRESENTATION OF ONE-DIMENSIONAL CELLULAR AUTOMATON RULES

Nino Boccara () and Henryk Fukś ()
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Nino Boccara: Department of Physics, University of Illinois, Chicago, USA;
Henryk Fukś: Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 11, 1605-1611

Abstract: Generalizing the motion representation we introduced for number-conserving rules, we give a systematic way to construct a generalized motion representation valid for non-conservative rules using the expression of the current, which appears in the discrete version of the continuity equation, completed by the discrete analogue of the source term. This new representation is general, but not unique, and can be used to represent, in a more visual way, any one-dimensional cellular automaton rule. A few illustrative examples are presented.

Keywords: Cellular; automaton; rules (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106010029

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