Phase Transition in Random Networks with Multiple States

Ricard V. Sole; Bartolo Luque; Stuart Kauffman

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arXiv · adap-org/9907011

Phase Transition in Random Networks with Multiple States

Ricard V. Sole·Bartolo Luque·Stuart Kauffman

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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 nets and are proposed as on extended approach to genetic regulatory systems, sets of cells in different states or collectives of agents engaged into a set of S possible tasks. A order parameter for the transition is computed and analysed. The relevance of these networks to biology, their relationships with standard cellular automata and possible extensions are outlined.

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Ricard V. Sole, Bartolo Luque, Stuart Kauffman. 1999-07-23. Phase Transition in Random Networks with Multiple States. https://arxiv.org/abs/adap-org/9907011

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