2007/08/20 by Shuichi Kinoshita, Kinoshita, Shu-ichi, Kazumoto Iguchi +3
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Complex Network Analysis Techniques #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Gene Regulatory Network Analysis #Opinion Dynamics and Social Influence
paper · pdf · doi:10.48550/arxiv.0708.2585
openalex publication_date 2007/08/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the intrinsic properties of attractors in the Boolean dynamics in complex network with scale-free topology, comparing with those of the so-called random Kauffman networks. We have numerically investigated the frozen and relevant nodes for each attractor, and the robustness of the attractors to the perturbation that flips the state of a single node of attractors in the relatively small network (N=30 ∼ 200). It is shown that the rate of frozen nodes in the complex networks with scale-free topology is larger than that in the random Kauffman model. Furthermore, we have found that in the complex scale-free networks with fluctuations of in-degree number the attractors are more sensitive to the state flip of a highly connected node than to the state flip of a less connected node.