{
  "id": "1509.07272",
  "version": "v1",
  "published": "2015-09-24T08:30:20.000Z",
  "updated": "2015-09-24T08:30:20.000Z",
  "title": "Rigorous enclosures of rotation numbers by interval methods",
  "authors": [
    "Anna Belova"
  ],
  "comment": "13 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We apply set-valued numerical methods to compute an accurate enclosure of the rotation number. The described algorithm is supplemented with a method of proving the existence of periodic points, which is used to check the rationality of the rotation number. A few numerical experiments are presented to show that the implementation of interval methods produces a good enclosure of the rotation number of a circle map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-24T08:30:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rotation number",
      "rigorous enclosures",
      "interval methods produces",
      "periodic points",
      "accurate enclosure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}