{
  "id": "1310.5279",
  "version": "v1",
  "published": "2013-10-19T23:45:57.000Z",
  "updated": "2013-10-19T23:45:57.000Z",
  "title": "Homoclinic points for convex billiards",
  "authors": [
    "Zhihong Xia",
    "Pengfei Zhang"
  ],
  "comment": "12 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we investigate some generic properties of a billiard system on a convex table. We show that generically, every hyperbolic periodic point admits some homoclinic orbit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-19T23:45:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37D50",
      "37C20",
      "37E40"
    ],
    "keywords": [
      "convex billiards",
      "homoclinic points",
      "hyperbolic periodic point admits",
      "generic properties",
      "homoclinic orbit"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/27/6/1181",
      "journal": "Nonlinearity",
      "year": 2014,
      "month": "Jun",
      "volume": 27,
      "number": 6,
      "pages": 1181
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014Nonli..27.1181X"
    }
  }
}