{
  "id": "1306.2576",
  "version": "v3",
  "published": "2013-06-11T16:32:04.000Z",
  "updated": "2013-10-07T15:46:42.000Z",
  "title": "Synchronization in random balanced networks",
  "authors": [
    "Luis Carlos Garcidel Molino",
    "Khashayar Pakdaman",
    "Jonathan Touboul",
    "Gilles Wainrib"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "cond-mat.dis-nn",
    "q-bio.NC"
  ],
  "abstract": "Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered neuronal networks with excitatory-inhibitory structure and balance constraints. We show how the interplay between structure and disorder in the connectivity leads to a universal transition from trivial to synchronized stationary or periodic states. This transition cannot be explained only through the analysis of the spectral density of the connectivity matrix. We provide a low dimensional approximation that shows the role of both the structure and disorder in the dynamics.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-10-07T15:46:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random balanced networks",
      "synchronization",
      "low dimensional approximation",
      "global emerging behavior",
      "connectivity matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.2576G"
    }
  }
}