{
  "id": "2009.10573",
  "version": "v1",
  "published": "2020-09-22T14:27:33.000Z",
  "updated": "2020-09-22T14:27:33.000Z",
  "title": "Noise-induced strong stabilization",
  "authors": [
    "Matti Leimbach",
    "Jonathan C. Mattingly",
    "Michael Scheutzow"
  ],
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We consider a 2-dimensional stochastic differential equation in polar coordinates depending on several parameters. We show that if these parameters belong to a specific regime then the deterministic system explodes in finite time, but the random dynamical system corresponding to the stochastic equation is not only strongly complete but even admits a random attractor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-22T14:27:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H30",
      "60H10",
      "34D45"
    ],
    "keywords": [
      "noise-induced strong stabilization",
      "stochastic differential equation",
      "deterministic system explodes",
      "polar coordinates",
      "specific regime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}