Abstract

A scheme to approximate coupled map lattices (CML) by cellular automata (CA) is presented and applied to a minimal CML exhibiting spatiotemporal intermittency. Taking advantage of the physical properties of the continuous system, it provides “natural” sequences of rules in the space of cellular automata which shed light on the origin of sustained spatiotemporal disorder in the original CML. Proximity relationships deeply rooted in the dynamical properties of the rules are unveiled, even between CA defined on different neighborhoods with a different number of possible states per site.

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