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Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates

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  • Martínez, Genaro Juárez
  • Adamatzky, Andrew
  • McIntosh, Harold V.

Abstract

Rule 54, a two state, three neighbor cellular automaton in Wolfram’s systems of nomenclature, is less complex that Rule 110, but nevertheless possess a rich and complex dynamics. We provide a systematic and exhaustive analysis of glider behavior and interactions, including a catalog of collisions. Many of them shows promise are computational elements.

Suggested Citation

  • Martínez, Genaro Juárez & Adamatzky, Andrew & McIntosh, Harold V., 2006. "Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 100-111.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:100-111
    DOI: 10.1016/j.chaos.2005.05.013
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    1. Bruno Martin, 2000. "A Group Interpretation Of Particles Generated By One-Dimensional Cellular Automaton, Wolfram'S Rule 54," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 101-123.
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    Cited by:

    1. Juan Carlos Seck-Tuoh-Mora & Joselito Medina-Marin & Norberto Hernández-Romero & Genaro J. Martínez, 2023. "Mean-Field Analysis with Random Perturbations to Detect Gliders in Cellular Automata," Mathematics, MDPI, vol. 11(20), pages 1-13, October.
    2. Ninagawa, S., 2015. "Dynamics of universal computation and 1/f noise in elementary cellular automata," Chaos, Solitons & Fractals, Elsevier, vol. 70(C), pages 42-48.

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