{
  "id": "0708.2055",
  "version": "v3",
  "published": "2007-08-15T14:35:45.000Z",
  "updated": "2008-03-13T13:01:54.000Z",
  "title": "Spectral Coarse Graining and Synchronization in Oscillator Networks",
  "authors": [
    "David Gfeller",
    "Paolo De Los Rios"
  ],
  "comment": "4 pages, 3 figures",
  "doi": "10.1103/PhysRevLett.100.174104",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Coarse graining techniques offer a promising alternative to large-scale simulations of complex dynamical systems, as long as the coarse-grained system is truly representative of the initial one. Here, we investigate how the dynamical properties of oscillator networks are affected when some nodes are merged together to form a coarse-grained network. Moreover, we show that there exists a way of grouping nodes preserving as much as possible some crucial aspects of the network dynamics. This coarse graining approach provides a useful method to simplify complex oscillator networks, and more generally any network whose dynamics involves a Laplacian matrix.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-03-13T13:01:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.45.Xt",
      "89.75.Fb"
    ],
    "keywords": [
      "spectral coarse graining",
      "synchronization",
      "coarse graining techniques offer",
      "simplify complex oscillator networks",
      "laplacian matrix"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "May",
      "volume": 100,
      "number": 17,
      "pages": 174104
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100q4104G"
    }
  }
}