Enumeration of limit cycles in noncylindrical cellular automata

DOI10.1007/BF01060073zbMath0892.58044OpenAlexW2015496812MaRDI QIDQ1203156

P. M. Binder, Carole J. Twining

Publication date: 27 October 1993

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060073

zbMATH Keywords

limit cycleselementary cellular automatafixed boundary conditionsconnectivity matrix

Mathematics Subject Classification ID

Topological dynamics (37B99) Cellular automata (computational aspects) (68Q80) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

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• Cellular automata and modeling of complex physical systems. Proceedings of the Winter School, Les Houches, France, February 21 - 28, 1989
• Dynamics of simple computer networks.
• Proof that a cellular automaton has a period-two global attractor
• Topological classification of cellular automata

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