Parametric ordering of complex systems

Details Parametric ordering of complex systems Parametric ordering of complex systems

1993-12-01

arxiv.org/abs/adap-org/9311005v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Scientific paper

10.1103/PhysRevE.49.2023

Cellular automata (CA) dynamics are ordered in terms of two global parameters, computable {\sl a priori} from the description of rules. While one of them (activity) has been used before, the second one is new; it estimates the average sensitivity of rules to small configurational changes. For two well-known families of rules, the Wolfram complexity Classes cluster satisfactorily. The observed simultaneous occurrence of sharp and smooth transitions from ordered to disordered dynamics in CA can be explained with the two-parameter diagram.

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