2D ELEMENTARY CELLULAR AUTOMATA WITH FOUR NEIGHBORS
JOSÉ ANTÓNIO FREITAS, Ricardo Severino · International Journal of Bifurcation and Chaos · 2013
This paper is focused on the study of square boolean synchronous four-neighbor peripheral cellular automata. It is first shown that, due to conjugation and plane reflection symmetry transformations, the number of dynamically nonequivalent such automata is equal to 4856. The cellular automata for which the homogeneous final states play a significant role are then identified. Finally, it is shown that, contrary to what happens in the case of one-dimensional boolean three-neighbor cellular automata, for some peripheral automata, there is coexistence between a homogeneous final state and other dynamics.