{
  "id": "1010.3688",
  "version": "v1",
  "published": "2010-10-18T19:21:00.000Z",
  "updated": "2010-10-18T19:21:00.000Z",
  "title": "Lipschitz shadowing implies structural stability",
  "authors": [
    "Sergei Yu. Pilyugin",
    "Sergey Tikhomirov"
  ],
  "comment": "11 pages",
  "journal": "Nonlinearity 23 (2010) 2509-2515",
  "doi": "10.1088/0951-7715/23/10/009",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the Lipschitz shadowing property of a diffeomorphism is equivalent to structural stability. As a corollary, we show that an expansive diffeomorphism having the Lipschitz shadowing property is Anosov.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-18T19:21:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34D30",
      "37C20",
      "03E75",
      "03E20"
    ],
    "keywords": [
      "lipschitz shadowing implies structural stability",
      "lipschitz shadowing property",
      "equivalent",
      "expansive diffeomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nonlinearity",
      "year": 2010,
      "month": "Oct",
      "volume": 23,
      "number": 10,
      "pages": 2509
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010Nonli..23.2509P"
    }
  }
}