{
  "id": "2310.17400",
  "version": "v1",
  "published": "2023-10-26T13:51:59.000Z",
  "updated": "2023-10-26T13:51:59.000Z",
  "title": "Bifurcation of Electromagnetic Geodesics Within an Energy Level",
  "authors": [
    "Henrique Vitório"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA",
    "math.FA"
  ],
  "abstract": "We consider the problem of electromagnetic geodesics, all of whose energy are the same, bifurcating from a given one. By considering an action functional which keeps fixed the energy we obtain the adequate notion of conjugacy along an electromagnetic geodesic. Then we employ a functional analytic criterion for bifurcation of critical points of strongly indefinite functionals, based on the so-called crossing form, to obtain a sufficient condition for bifurcation of electromagnetic geodesics to occur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-26T13:51:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E07",
      "58E10",
      "47A53"
    ],
    "keywords": [
      "electromagnetic geodesic",
      "energy level",
      "bifurcation",
      "functional analytic criterion",
      "strongly indefinite functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}