TY - JOUR
T1 - Specific roles of the different Boolean mappings in random networks
AU - Fogelman-Soulie, F.
AU - Goles-Chacc, E.
AU - Weisbuch, G.
N1 - Funding Information:
We thank Prof. H. Atlan for helpful discussions and Dr J. Salomon for help in programming. We also want to acknowledge criticism and remarks made by the referees. This research was supported by a CNRS grant (ATP Analyse de Syst~mes-ERA No. 373) and an INSERM (France)-CNRD (Israel) grant.
PY - 1982
Y1 - 1982
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/0020366348
U2 - 10.1016/S0092-8240(82)80010-4
DO - 10.1016/S0092-8240(82)80010-4
M3 - Article
AN - SCOPUS:0020366348
SN - 0092-8240
VL - 44
SP - 715
EP - 730
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 5
ER -