Phase Transitions in Random Networks with Multiple States

Ricard V. Solé, Bartolo Luque and Stuart Kauffman

Working Papers from Santa Fe Institute

Abstract: The critical boundaries separating ordered from chaotic behavior in randomly wired S-state networks are calculated. These networks are a natural generalization of random Boolean net and are proposed as an extended approach to genetic regulatory systems, sets of cells in different states or collectives of agents engaged into a set of S possible tasks. An order parameter for the transition is computed and analyzed and a Lyapunov exponent for the sustem is defined. The relevance of these networks to biology, their relationships with standard cellular automata and possible extensions are outlined.

Keywords: Random Boolean networks; phase transitions; gene networks; edge of chaos. (search for similar items in EconPapers)
Date: 2000-02
New Economics Papers: this item is included in nep-cmp, nep-evo and nep-ind
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Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:00-02-011

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