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Randomly connected cellular automata: A search for critical connectivities

Normand Mousseau
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Abstract

I study the Chate-Manneville cellular automata rules on randomly connected lattices. The periodic and quasi-periodic macroscopic behaviours associated with these rules on finite-dimensional lattices persist on an infinite-dimensional lattice with finite connectivity and symmetric bonds. The lower critical connectivity for these models is at C=4 and the mean-field connectivity, if finite, is not smaller than C=100. Autocorrelations are found to decay as a power-law with a connectivity independent exponent approx. equal to -2.5. A new intermitten chaotic phase is also discussed.

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Normand Mousseau. 1996-03-19. Randomly connected cellular automata: A search for critical connectivities. https://doi.org/10.1209/epl%2Fi1996-00370-1

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