{
  "id": "0712.0513",
  "version": "v1",
  "published": "2007-12-04T13:33:20.000Z",
  "updated": "2007-12-04T13:33:20.000Z",
  "title": "Newhouse phenomenon and homoclinic classes",
  "authors": [
    "Jiagang Yang"
  ],
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "We show that for a $C^1$ residual subset of diffeomorphisms far away from tangency, every non-trivial chain recurrent class that is accumulated by sources ia a homoclinic class contains periodic points with index 1 and it's the Hausdorff limit of a family of sources.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-04T13:33:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37D10",
      "37C25"
    ],
    "keywords": [
      "homoclinic classes",
      "newhouse phenomenon",
      "homoclinic class contains periodic points",
      "non-trivial chain recurrent class",
      "diffeomorphisms far away"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0513Y"
    }
  }
}