Mean-field and non-mean-field behaviors in scale-free networks with random boolean dynamics.
Nenhuma Miniatura disponível
Data
2010
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
We study two types of simplified Boolean dynamics in scale-free networks, both with synchronous update. Assigning only Boolean functions AND and XOR to the nodes with probability 1 − p and p, respectively, we are able to analyze the density of 1’s and the Hamming distance on the network by numerical simulations and by a mean-field approximation (annealed approximation). We show that the behavior is quite different if the node always enters in the dynamics as its own input (self-regulation) or not. The same conclusion holds for the Kauffman NK model. Moreover, the simulation results and the mean-field ones (i) agree well when there is no self-regulation, and (ii) disagree for small p when self-regulation is present in the model.
Descrição
Palavras-chave
Citação
SILVA, A. V. C. de C. e; SILVA, J. K. L. da. Mean-field and non-mean-field behaviors in scale-free networks with random boolean dynamics. Journal of Physics A: Mathematical and Theoretical, v. 43, n. 1, p. 1-11, mai. 2010. Disponível em: <https://iopscience.iop.org/article/10.1088/1751-8113/43/22/225101/meta>. Acesso em: 19 jun. 2012.