{
  "id": "1610.06103",
  "version": "v1",
  "published": "2016-10-19T16:52:49.000Z",
  "updated": "2016-10-19T16:52:49.000Z",
  "title": "Hamiltonization of solids of revolution through reduction",
  "authors": [
    "Paula Balseiro"
  ],
  "comment": "31 pages",
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "In this paper we study the relation between conserved quantities of nonholonomic systems and the hamiltonization problem employing the geometric methods of [1,3]. We illustrate the theory with classical examples describing the dynamics of solids of revolution rolling without sliding on a plane. In these cases, using the existence of two conserved quantities we obtain, by means of 'gauge transformations' and symmetry reduction, genuine Poisson brackets describing the reduced dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-19T16:52:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "revolution",
      "conserved quantities",
      "genuine poisson brackets",
      "hamiltonization problem",
      "gauge transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}