{
  "id": "1012.4303",
  "version": "v1",
  "published": "2010-12-20T12:26:30.000Z",
  "updated": "2010-12-20T12:26:30.000Z",
  "title": "Positive Lyapunov exponent by a random perturbation",
  "authors": [
    "Zeng Lian",
    "Mikko Stenlund"
  ],
  "comment": "14 pages",
  "journal": "Dynamical Systems: An International Journal, 27, Issue 2, 2012, 239-252. (http://www.tandfonline.com/doi/full/10.1080/14689367.2012.667787)",
  "doi": "10.1080/14689367.2012.667787",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "We study the effect of a random perturbation on a one-parameter family of dynamical systems whose behavior in the absence of perturbation is ill understood. We provide conditions under which the perturbed system is ergodic and admits a positive Lyapunov exponent, with an explicit lower bound, for a large and controlled set of parameter values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-20T12:26:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H15",
      "70K60"
    ],
    "keywords": [
      "positive lyapunov exponent",
      "random perturbation",
      "explicit lower bound",
      "ill understood",
      "parameter values"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4303L"
    }
  }
}