{
  "id": "0704.1221",
  "version": "v3",
  "published": "2007-04-10T12:09:16.000Z",
  "updated": "2010-02-26T10:38:25.000Z",
  "title": "Dynamics of the Tippe Top via Routhian Reduction",
  "authors": [
    "M. C. Ciocci",
    "B. Langerock"
  ],
  "comment": "16 pages, 7 figures, added reference. Typos corrected and a forgotten term in de linearized system is added",
  "journal": "Regul. Chaotic Dyn. 12 (2007) pp602--614",
  "doi": "10.1134/S1560354707060032",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a tippe top modeled as an eccentric sphere, spinning on a horizontal table and subject to a sliding friction. Ignoring translational effects, we show that the system is reducible using a Routhian reduction technique. The reduced system is a two dimensional system of second order differential equations, that allows an elegant and compact way to retrieve the classification of tippe tops in six groups as proposed in [1] according to the existence and stability type of the steady states.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-02-26T10:38:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second order differential equations",
      "routhian reduction technique",
      "ignoring translational effects",
      "steady states",
      "eccentric sphere"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Regular and Chaotic Dynamics",
      "year": 2007,
      "month": "Dec",
      "volume": 12,
      "number": 6,
      "pages": 602
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007RCD....12..602C"
    }
  }
}