Phase Transitions in Random Networks with Multiple States
AbstractThe 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.
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Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 00-02-011.
Date of creation: Feb 2000
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Random Boolean networks; phase transitions; gene networks; edge of chaos.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-02-28 (All new papers)
- NEP-CMP-2000-03-12 (Computational Economics)
- NEP-EVO-2000-02-28 (Evolutionary Economics)
- NEP-IND-2000-02-28 (Industrial Organization)
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