Energy and attractors in parallel Potts dynamics

E. Goles, G. Vichniac

Research output: Contribution to journalReview articlepeer-review


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).

Original languageEnglish
Article number035
Pages (from-to)1329-1332
Number of pages4
JournalJournal of Physics A: Mathematical and General
Issue number7
StatePublished - 1990
Externally publishedYes


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