NONTRIVIAL COLLECTIVE BEHAVIOR IN 3-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. Around 90 new rules show t he non-trivial collective behavior P3 and QP3. Also a type-III intermi ttent behavior is found with scaling exponents -1 for the average tran sient time and -3/2 for the distribution of the laminar phases. The sp ace of the rules is located obtaining the Shannon information function and using a mean-field approximation. The time autocorrelation functi on decays as a power law with an exponent of -1/2 for the quasiperiod- 3 and with non-universal exponents for amplitude intermittent P2 and f or some P2. (C) 1998 Elsevier Science B.V.