Abstract
Random Boolean networks have striking properties of self-organization. In this paper we propose an algorithm based on the different roles of Boolean mappings and on the connection structure to analyze the organization of the network. For a few cases— transfer mappings, AND/OR, equivalence/XOR—rigorous results are obtained about the dynamics of homogeneous networks. Conclusions are then drawn concerning the non-homogeneous networks.
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This paper is dedicated to the Soviet cybernetician Victor Braïlovski.
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Fogelman-Soulie, F., Goles-Chacc, E. & Weisbuch, G. Specific roles of the different boolean mappings in random networks. Bltn Mathcal Biology 44, 715–730 (1982). https://doi.org/10.1007/BF02462279
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DOI: https://doi.org/10.1007/BF02462279