{
  "id": "0902.4397",
  "version": "v2",
  "published": "2009-02-25T15:42:20.000Z",
  "updated": "2010-03-22T13:40:42.000Z",
  "title": "Hamiltonization and Integrability of the Chaplygin Sphere in R^n",
  "authors": [
    "Bozidar Jovanovic"
  ],
  "comment": "22 pages, Sections 1 and 5 are rewritten, to appear in Journal of Nonlinear Science",
  "doi": "10.1007/s00332-010-9067-9",
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "The paper studies a natural $n$-dimensional generalization of the classical nonholonomic Chaplygin sphere problem. We prove that for a specific choice of the inertia operator, the restriction of the generalized problem onto zero value of the SO(n-1)-momentum mapping becomes an integrable Hamiltonian system after an appropriate time reparametrization.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-22T13:40:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J60",
      "37J35",
      "70H45"
    ],
    "keywords": [
      "hamiltonization",
      "integrability",
      "classical nonholonomic chaplygin sphere problem",
      "appropriate time reparametrization",
      "inertia operator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of NonLinear Science",
      "year": 2010,
      "month": "Oct",
      "volume": 20,
      "number": 5,
      "pages": 569
    },
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JNS....20..569J"
    }
  }
}