{
  "id": "1306.2340",
  "version": "v1",
  "published": "2013-06-10T20:09:56.000Z",
  "updated": "2013-06-10T20:09:56.000Z",
  "title": "Perturbations of quadratic Hamiltonian two-saddle cycles",
  "authors": [
    "Lubomir Gavrilov",
    "Iliya D. Iliev"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the number of limit cycles, which bifurcate from a two-saddle loop of a planar quadratic Hamiltonian system, under an arbitrary quadratic deformation, is less than or equal to three.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-10T20:09:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C07"
    ],
    "keywords": [
      "quadratic hamiltonian two-saddle cycles",
      "perturbations",
      "planar quadratic hamiltonian system",
      "arbitrary quadratic deformation",
      "two-saddle loop"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.2340G"
    }
  }
}