{
  "id": "1003.4949",
  "version": "v1",
  "published": "2010-03-25T16:41:16.000Z",
  "updated": "2010-03-25T16:41:16.000Z",
  "title": "Fractals in Small-World Networks With Time Delay",
  "authors": [
    "Xin-She Yang"
  ],
  "journal": "Chaos, Solitons & Fractals, Vol. 13, No. 2, 215-219 (2002)",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The small-world networks recently introduced by Watts and Strogatz [Nature 393, 440 (1998)] has attracted much interests in studying the interesting properties of the networks without time-delay. However, a signal or influence travelling on the small-world networks often associated with time-delay features which are very common in biological and physical networks. We develop an analytical approach as well as numerical simulations to try to characterize the effect of time-delay on the properties of small-world networks. An analytical expression of the fractal dimension of the small-world networks is given and thus compared with the results from numerical simulations. Analysis shows that small-world networks with time-delay generally have the multifractals property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-25T16:41:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80"
    ],
    "keywords": [
      "small-world networks",
      "time delay",
      "numerical simulations",
      "time-delay features",
      "fractal dimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.4949Y"
    }
  }
}