Dynamical Profiles for Range Dependent Rules

A few class-2 — class-3 transitions are Cr-symmetry dependent. For example, while the observed behavior of certain rules on 3 may be different from 2, the dynamics on all intermediate and succeeding topologies may, in fact, remain of the 

Most transitions are indicative of a true behavioral change. Whether this change occurs spontaneously at a certain r, at which point the dynamics is converted to a new class and maintained thereafter, or develops gradually for the intermediate topologies, appears to be an intrinsic property of the chosen rule. 

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