Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2005-07-29
Lutz Schimansky-Geier, Derek Abbott, Alexander Neiman and Christian Van den Broeck (eds.),_Noise in Complex Systems and Stocha
Nonlinear Sciences
Adaptation and Self-Organizing Systems
10 pages, 6 figures. This was a preliminary report on the research whose final results appeared in nlin.AO/0409024. However, t
Scientific paper
Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information theory that let us calculate the dynamical information content of spatial random processes. This complexity measure allows us to quantitatively determine the rate of self-organization of these cellular automata, and establish the relationship between parameter values and self-organization in CCA. The method is very general and can easily be applied to other cellular automata or even digitized experimental data.
Shalizi Cosma Rohilla
Shalizi Kristina Lisa
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