Robustness of Attractor States in Complex Networks with Scale-free Topology
| dc.creator | Kinoshita, Shu-ichi | |
| dc.creator | Iguchi, Kazumoto | |
| dc.creator | Yamada, Hiroaki S. | |
| dc.date | 2007-08-20 | |
| dc.date.accessioned | 2026-07-07T08:24:22Z | |
| dc.date.available | 2026-07-07T08:24:22Z | |
| dc.description | 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. | |
| dc.description | 9 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/0708.2585 | |
| dc.identifier | http://arxiv.org/abs/0708.2585 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136318 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Robustness of Attractor States in Complex Networks with Scale-free Topology | |
| dc.type | text |