{
  "id": "1605.07047",
  "version": "v1",
  "published": "2016-05-23T15:02:08.000Z",
  "updated": "2016-05-23T15:02:08.000Z",
  "title": "Li-Yorke chaos for invertible mappings on compact metric spaces",
  "authors": [
    "Lvlin Luo",
    "Bingzhe Hou"
  ],
  "comment": "5 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we construct a homeomorphism on the unit closed disk to show that an invertible mapping on a compact metric space is Li-Yorke chaotic does not imply its inverse being Li-Yorke chaotic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-23T15:02:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B99",
      "54H20",
      "37C15"
    ],
    "keywords": [
      "compact metric space",
      "li-yorke chaos",
      "invertible mapping",
      "li-yorke chaotic",
      "unit closed disk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}