{
  "id": "0909.1161",
  "version": "v1",
  "published": "2009-09-07T08:25:23.000Z",
  "updated": "2009-09-07T08:25:23.000Z",
  "title": "Bifurcation Analysis of Noise-induced Synchronization",
  "authors": [
    "Katsutoshi Yoshida",
    "Yusuke Nishizawa"
  ],
  "comment": "12 pages, 8 figures",
  "journal": "IJICIC, Vol.5, No.9, (2009), pp.2809-2818",
  "categories": [
    "math.DS",
    "math.NA"
  ],
  "abstract": "We investigate bifurcation phenomena between slow and fast convergences of synchronization errors arising in the proposed synchronization system consisting of two identical nonlinear dynamical systems linked by a common noisy input only. The numerical continuation of the saddle-node bifurcation set of the primary resonance of moments provides an effective identifier of the slow convergence of synchronization errors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-07T08:25:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bifurcation analysis",
      "noise-induced synchronization",
      "nonlinear dynamical systems",
      "synchronization errors",
      "saddle-node bifurcation set"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1161Y"
    }
  }
}