Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-08-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
9 pages, 5 figures
Scientific paper
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 ($N=30 \sim 200$). 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.
Iguchi Kazumoto
Kinoshita Shu-ichi
Yamada Hiroaki S.
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