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A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XII: PERIOD-3, PERIOD-6, AND PERMUTIVE RULES
2009
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
This 12th part of our Nonlinear Dynamics Perspective of Cellular Automata concludes a series of three articles devoted to CA local rules having robust ω-limit orbits. Here we consider only the two rules, 131 and 133 , constituting the third of the six groups in which we classified the 1D binary Cellular Automata. Among the numerous theoretical results contained in this article, we emphasize the complete characterization of the ωlimit orbits, both robust and non-robust, of these two rules and
doi:10.1142/s0218127409025365
fatcat:jyd5densjvaezn446e7xadsjcm