Criticality in the behaviour of 2D cellular automatas

Authors: Alex Tee Neng Heng, David G. Green

One effect of the rules of a CA is that certain configurations of a cell’s neighbourhood will lead to a change of the cell’s state, and others will not. If the proportion P of configurations that lead to a change is small, then the CA “freezes”, whereas if P is large, then no patterns ever become stable. The most “interesting” behaviour usually occurs in CAs that lie in the transition phase (sometimes called the “edge of chaos”) between these extremes. For more information see Green (1994). Emergent behavior in biological system

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