{
  "id": "1206.3868",
  "version": "v3",
  "published": "2012-06-18T09:49:32.000Z",
  "updated": "2012-12-20T04:13:17.000Z",
  "title": "Discretized rotation has infinitely many periodic orbits",
  "authors": [
    "Shigeki Akiyama",
    "Attila Pethoe"
  ],
  "comment": "Revised after referee reports, and added a quantitative statement",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "For a fixed k in (-2,2), the discretized rotation on Z^2 is defined by (x,y)->(y,-[x+ky]). We prove that this dynamics has infinitely many periodic orbits.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-12-20T04:13:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E15",
      "37E05",
      "11A63"
    ],
    "keywords": [
      "periodic orbits",
      "discretized rotation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/26/3/871",
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Mar",
      "volume": 26,
      "number": 3,
      "pages": 871
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26..871A"
    }
  }
}