{
  "id": "0708.2585",
  "version": "v1",
  "published": "2007-08-20T11:33:34.000Z",
  "updated": "2007-08-20T11:33:34.000Z",
  "title": "Robustness of Attractor States in Complex Networks with Scale-free Topology",
  "authors": [
    "Shu-ichi Kinoshita",
    "Kazumoto Iguchi",
    "Hiroaki S. Yamada"
  ],
  "comment": "9 pages, 5 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-20T11:33:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale-free topology",
      "complex network",
      "attractor states",
      "robustness",
      "state flip"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2585K"
    }
  }
}