{
  "id": "1109.1128",
  "version": "v1",
  "published": "2011-09-06T09:43:42.000Z",
  "updated": "2011-09-06T09:43:42.000Z",
  "title": "Global dynamics under a weak potential on a sphere",
  "authors": [
    "Roberto Castelli",
    "Francesco Paparella",
    "Alessandro Portaluri"
  ],
  "comment": "20 pages, 6 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a detailed analytical description of the global dynamics of a point mass moving on a sphere under the action of a logarithmic potential. After performing a McGehee-type blow-up in order to cope with the singularity of the potential, we investigate the rest-points of the flow, the invariant (stable and unstable) manifolds and we give a complete dynamical description of the motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-06T09:43:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70F10",
      "37C80"
    ],
    "keywords": [
      "global dynamics",
      "weak potential",
      "complete dynamical description",
      "logarithmic potential",
      "mcgehee-type blow-up"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.1128C"
    }
  }
}