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Two-Dimensional Cellular Automata With Memory: Patterns Starting With A Single Site Seed

Author

Listed:
  • RAMÓN ALONSO-SANZ

    (ETSI Agrónomos (Estadística), C. Universitaria. 28040, Madrid, Spain)

  • MARGARITA MARTÍN

    (F.Veterinaria (Bioquímica y Biología Molecular IV, UCM), C. Universitaria. 28040, Madrid, Spain)

Abstract

Standard Cellular Automata (CA) are ahistoric (memoryless), i.e., the new state of a cell depends on its neighborhood configuration only at the preceding time step. The effect of keeping ahistoric memory of all past iterations in two-dimensional CA, featuring each cell by its most frequent state is analyzed in this work.

Suggested Citation

  • Ramón Alonso-Sanz & Margarita Martín, 2002. "Two-Dimensional Cellular Automata With Memory: Patterns Starting With A Single Site Seed," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 49-65.
    • Handle: RePEc:wsi:ijmpcx:v:13:y:2002:i:01:n:s0129183102002973
    DOI: 10.1142/S0129183102002973
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    Cited by:

    1. Alonso-Sanz, Ramón, 2007. "A structurally dynamic cellular automaton with memory," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1285-1295.

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    Keywords

    Cellular automata; memory;

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