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Motion Representation Of One-Dimensional Cellular Automaton Rules

Author

Listed:
  • NINO BOCCARA

    (Department of Physics, University of Illinois, Chicago, USA;
    DRECAM/SPEC, CE Saclay, 91191 Gif-sur-Yvette Cedex, France)

  • HENRYK FUKŚ

    (Department of Mathematics, Brock University, St. Catharines, Ontario L2S 3A1, Canada)

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.

Suggested Citation

  • Nino Boccara & Henryk Fukś, 2006. "Motion Representation Of One-Dimensional Cellular Automaton Rules," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(11), pages 1605-1611.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:11:n:s0129183106010029
    DOI: 10.1142/S0129183106010029
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    Keywords

    Cellular automaton rules;

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