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Investigating An Automaton Of "Class 4"

Author

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  • JASON A. C. GALLAS

    (Departamento de Física da UFSC, 88049 Florianópolis, SC, Brasil;
    SPhT, CEN-Saclay, F-91191 Gif-sur-Yvette Cédex, France)

  • HANS J. HERRMANN

    (SPhT, CEN-Saclay, F-91191 Gif-sur-Yvette Cédex, France)

Abstract

We study the one-dimensional totalistic rule 20 with five cells per neighborhood. We find two transients both characterized by finite correlation lengths. The first transient of about 100 time-steps terminates in the glider phase. Collisions of gliders determine the second transient of about 30,000 time-steps. The final state has a finite magnetization and is indistinguishable from class 2 behaviour.

Suggested Citation

  • Jason A. C. Gallas & Hans J. Herrmann, 1990. "Investigating An Automaton Of "Class 4"," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 181-191.
    • Handle: RePEc:wsi:ijmpcx:v:01:y:1990:i:01:n:s0129183190000098
    DOI: 10.1142/S0129183190000098
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    Cited by:

    1. Gallas, Jason A.C. & Herrmann, Hans J., 2005. "Spontaneous emergence of spatio-temporal order in class 4 automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(1), pages 78-82.

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