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On the synchronizing mechanism of a class of cellular automata

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  • Satulovsky, Javier E.

Abstract

We analyze the onset of local oscillations in a class of cellular automata introduced by Vieira and Bisch (1993). They consist in one autocatalytic reaction and a ring of spontaneously decaying processes. We explain, in the context of recent studies on synchronization of generalized Forest-Fire models, why a minimum number of chemical species is needed for oscillations to take place. Numerical simulations confirm our analysis.

Suggested Citation

  • Satulovsky, Javier E., 1997. "On the synchronizing mechanism of a class of cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(1), pages 52-58.
    • Handle: RePEc:eee:phsmap:v:237:y:1997:i:1:p:52-58
    DOI: 10.1016/S0378-4371(96)00426-8
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    1. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
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