{
  "id": "1010.3308",
  "version": "v1",
  "published": "2010-10-16T02:29:05.000Z",
  "updated": "2010-10-16T02:29:05.000Z",
  "title": "Vector Fields with the Oriented Shadowing Property",
  "authors": [
    "Sergei Yu. Pilyugin",
    "Sergey Tikhomirov"
  ],
  "comment": "42 pages",
  "journal": "Journal of Differential Equations, Volume 248, Issue 6, 15 March 2010, Pages 1345-1375",
  "doi": "10.1016/j.jde.2009.09.024",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a description of the $\\Cone$-interior ($\\Int^1(\\OrientSh)$) of the set of smooth vector fields on a smooth closed manifold that have the oriented shadowing property. A special class $\\Bb$ of vector fields that are not structurally stable is introduced. It is shown that the set $\\Int^1(\\OrientSh\\setminus\\Bb)$ coincides with the set of structurally stable vector fields. An example of a field of the class $\\Bb$ belonging to $\\Int^1(\\OrientSh)$ is given. Bibliography: 18 titles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-16T02:29:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C50",
      "37D20"
    ],
    "keywords": [
      "oriented shadowing property",
      "smooth vector fields",
      "smooth closed manifold",
      "special class",
      "structurally stable vector fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Differential Equations",
      "year": 2010,
      "volume": 248,
      "number": 6,
      "pages": 1345
    },
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JDE...248.1345P"
    }
  }
}