Specific roles of the different Boolean mappings in random networks

✍ Scribed by F. Fogelman-Soulie; E. Goles-Chacc; G. Weisbuch

• Publisher: Springer
• Year: 1982
• Tongue: English
• Weight: 793 KB
• Volume: 44
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(82)80010-4

✦ Synopsis

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 nonhomogeneous networks. *This paper is dedicated to the Soviet cybernetician Victor Brailovski.