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Effect Of Memory On Boolean Networks With Disordered Dynamics: Thek = 4case

Author

Listed:
  • RAMÓN ALONSO-SANZ

    (ETSI Agrónomos (Estadística), C. Universitaria. 28040, Madrid, Spain;
    Grupo de Sistemas Complejos - Universidad Politécnica de Madrid, Spain)

  • JUAN PABLO CÁRDENAS

    (ETSI Agrónomos (Estadística), C. Universitaria. 28040, Madrid, Spain;
    Grupo de Sistemas Complejos - Universidad Politécnica de Madrid, Spain)

Abstract

In standard Cellular Automata (CA) and Boolean Networks (BN), the new state of a cell depends on the neighborhood configuration only at the preceding time step. The effect of implementing memory in cells on CA, CA on networks and BN with different degrees of random rewiring is studied in this paper paying attention to the particular case of four inputs. As a rule, memory in cells induces a moderation in the rate of changing cells and in the damage spreading, albeit in the latter case memory turns out ineffective in the control of the damage as the wiring network moves away of the ordered structure that features proper CA.

Suggested Citation

  • Ramón Alonso-Sanz & Juan Pablo Cárdenas, 2007. "Effect Of Memory On Boolean Networks With Disordered Dynamics: Thek = 4case," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(08), pages 1313-1327.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:08:n:s0129183107011340
    DOI: 10.1142/S0129183107011340
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