On the Asymptotic Behaviour of Circular Fuzzy Cellular Automata.
Heather Betel, Paola Flocchini · Journal of cellular automata · 2011
Fuzzy cellular automata (FCA) are continuous cellular automata where the local rule is defined as the “fuzzification” of the local rule of a corresponding Boolean cellular automaton in disjunctive normal form. In this paper, we consider circular FCA; their asymptotic behaviours had previously been observed through simulation and FCA had been empirically classified accordingly. However, no analytical study previously existed to support these observations.