Energy and attractors in parallel Potts dynamics
Eric Goles, Gérard Y. Vichniac · Journal of Physics A Mathematical and General · 1990
The authors derive an energy function for multibit threshold automata networks (e.g. the Potts model) updated in parallel, and show that their dynamics admit as attractors fixed points and limit cycles of length 2. They compare this result with similar known results on networks of binary automata (e.g. the Ising model).