{
  "id": "0912.2487",
  "version": "v1",
  "published": "2009-12-13T09:45:23.000Z",
  "updated": "2009-12-13T09:45:23.000Z",
  "title": "A sufficient condition for bifurcation in random dynamical systems",
  "authors": [
    "Xiaopeng Chen",
    "Jinqiao Duan",
    "Xinchu Fu"
  ],
  "comment": "9pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "Some properties of random Conley index are obtained and then a sufficient condition for the existence of abstract bifurcation points for both discrete-time and continuous-time random dynamical systems is presented. This stochastic bifurcation phenomenon is demonstrated by a few examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-13T09:45:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H20",
      "37B30",
      "60H10"
    ],
    "keywords": [
      "sufficient condition",
      "random conley index",
      "continuous-time random dynamical systems",
      "stochastic bifurcation phenomenon",
      "abstract bifurcation points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.2487C"
    }
  }
}