{
  "id": "1102.1135",
  "version": "v1",
  "published": "2011-02-06T10:43:26.000Z",
  "updated": "2011-02-06T10:43:26.000Z",
  "title": "Nondensity of orbital shadowing property in C^1-topology",
  "authors": [
    "Alexey V. Osipov"
  ],
  "comment": "This paper is a preliminary English translation of the corresponding paper in Russian published in Algebra and analysis, 2010, Vol. 22, N 2. It contains 34 pages and 3 figures",
  "journal": "Osipov A.V., Nondensity of orbital shadowing property in C^1-topology, Saint-Petersburg Mathematical Journal, 2011, Vol. 22, N 2",
  "categories": [
    "math.DS"
  ],
  "abstract": "The orbital shadowing property (OSP) of discrete dynamical systems on smooth closed manifolds is considered. Nondensity of OSP with respect to the C^1-topology is proved. The proof uses the method of skew products developed by Yu.S. Ilyashenko and A.S. Gorodetski.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-06T10:43:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C50"
    ],
    "keywords": [
      "orbital shadowing property",
      "nondensity",
      "discrete dynamical systems",
      "smooth closed manifolds",
      "skew products"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.1135O"
    }
  }
}