{
  "id": "cond-mat/0410635",
  "version": "v2",
  "published": "2004-10-25T13:26:17.000Z",
  "updated": "2005-08-17T06:36:44.000Z",
  "title": "Synchronization transition in scale-free networks: Clusters of synchrony",
  "authors": [
    "Deok-Sun Lee"
  ],
  "comment": "3 figures, final version",
  "journal": "Phys. Rev. E 72, 026208 (2005)",
  "doi": "10.1103/PhysRevE.72.026208",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the synchronization transition in scale-free networks that display power-law asymptotic behaviors in their degree distributions. The critical coupling strength and the order-parameter critical exponent derived by the mean field approach depend on the degree exponent $\\lambda$, which implies a close connection between structural organization and the emergence of dynamical order in complex systems. We also derive the finite-size scaling behavior of the order parameter finding that the giant cluster of synchronized nodes is formed in different ways between scale-free networks with $2<\\lambda<3$ and those with $\\lambda>3$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-17T06:36:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale-free networks",
      "synchronization transition",
      "mean field approach depend",
      "display power-law asymptotic behaviors",
      "order parameter"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}