A New Parameter $F$ to Classify Cellular Automata Rule Table Space and a Phase Diagram in $λ-F$ Plane

dc.creatorSakai, Sunao
dc.creatorKanno, Megumi
dc.date2002-11-12
dc.date.accessioned2026-07-07T05:34:25Z
dc.date.available2026-07-07T05:34:25Z
dc.descriptionIt is shown that for the N-neighbor and K-state cellular automata, the class II, class III and class IV patterns coexist at least in the range $\frac{1}{K} \le λ\le 1-\frac{1}{K} $. The mechanism which determines the difference between the pattern classes at a fixed $λ$ is found, and it is studied quantitatively by introducing a new parameter $F$. Using the parameter F and $λ$, the phase diagram of cellular automata is obtained for 5-neighbor and 4-state cellular automata. PACS: 89.75.-k Complex Systems
dc.description16 pages in latex, 4 Postscript figures
dc.identifierhttps://arxiv.org/abs/nlin/0211015
dc.identifierhttp://arxiv.org/abs/nlin/0211015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80359
dc.subjectCellular Automata and Lattice Gases
dc.titleA New Parameter $F$ to Classify Cellular Automata Rule Table Space and a Phase Diagram in $λ-F$ Plane
dc.typetext

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