Quasiperiod-3 and period-3 collective behavior in three dimensional totalistic illegal cellular automata with high connectivity
The collective behavior of totalistic illegal cellular automata rules in d=3 with high connectivity is studied. P3 and QP3 behavior of a family of rules is located obtaining the Shannon information function and using a mean-field approximation.For the QP3 behavior the time autocorrelation function decays as a power law with an exponent of -1/2.
KeywordsCellular Automaton Cellular Automaton Lattice Size Collective Behavior Local Rule
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