Emulating the logistic map with totalistic cellular automata

This paper demonstrates that while a probabilistic totalistic cellular automaton's mean-field formulation approximates the logistic equation only with infinite-range interactions, numerical studies show that shuffling configurations or rewiring a fraction of links (including in small-world networks) effectively emulates logistic behavior and exhibits a bifurcation cascade in density, a phenomenon that also extends to deterministic totalistic automata with similar symmetries.

Franco Bagnoli2026-03-06🔬 physics