Phase Transition in Random Networks with Multiple States

Details Phase Transition in Random Networks with Multiple States Phase Transition in Random Networks with Multiple States

1999-07-23

arxiv.org/abs/adap-org/9907011v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

20 pages plus 10 figures

Scientific paper

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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