{
  "id": "1310.3081",
  "version": "v2",
  "published": "2013-10-11T10:33:16.000Z",
  "updated": "2013-10-24T15:13:29.000Z",
  "title": "Dynamics on the cone: closed orbits and superintegrability",
  "authors": [
    "Y. Brihaye",
    "P. Kosiński",
    "P. Maślanka"
  ],
  "comment": "15 pages, 3 figures; some references added, few misprints corrected",
  "categories": [
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The additional integrals of motion are analyzed for the case of Kepler and harmonic oscillator potentials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-24T15:13:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "closed orbits",
      "superintegrability",
      "harmonic oscillator potentials",
      "bertrands theorem",
      "additional integrals"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.aop.2014.02.022",
      "journal": "Annals of Physics",
      "year": 2014,
      "month": "May",
      "volume": 344,
      "pages": 253
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014AnPhy.344..253B"
    }
  }
}