{
  "id": "math/0512223",
  "version": "v1",
  "published": "2005-12-11T18:12:29.000Z",
  "updated": "2005-12-11T18:12:29.000Z",
  "title": "Periodic orbits and homoclinic loops for surface homeomorphisms",
  "authors": [
    "Morris W. Hirsch"
  ],
  "comment": "Slight correction of published version. 13 pages",
  "journal": "Michigan Mathematics Journal 47 (2000) 395-406",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let p be a saddle fixed point for an orientation-preserving surface diffeomorphism f admitting a homoclinic point q. Let V be an open 2-cell bounded by a simple loop formed by two arcs joining p to q lying respectively in the stable and unstable curves at p. It is shown that f|V has fixed point index 1 or 2 depending only on the geometry of V near p.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-11T18:12:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E30"
    ],
    "keywords": [
      "surface homeomorphisms",
      "homoclinic loops",
      "periodic orbits",
      "fixed point index",
      "orientation-preserving surface diffeomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12223H"
    }
  }
}