{
  "id": "1410.5704",
  "version": "v1",
  "published": "2014-10-21T15:28:04.000Z",
  "updated": "2014-10-21T15:28:04.000Z",
  "title": "On bifurcations of area-preserving and non-orientable maps with quadratic homoclinic tangencies",
  "authors": [
    "Amadeu Delshams",
    "Marina Gonchenko",
    "Sergey V. Gonchenko"
  ],
  "comment": "17 pages, 7 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional surfaces. We consider one and two parameter general unfoldings and establish results related to the emergence of elliptic periodic orbits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-21T15:28:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quadratic homoclinic tangencies",
      "non-orientable maps",
      "area-preserving",
      "parameter general unfoldings",
      "elliptic periodic orbits"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1560354714060082",
      "journal": "Regular and Chaotic Dynamics",
      "year": 2014,
      "month": "Nov",
      "volume": 19,
      "number": 6,
      "pages": 702
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014RCD....19..702D"
    }
  }
}