{
  "id": "1401.5419",
  "version": "v1",
  "published": "2014-01-21T18:57:05.000Z",
  "updated": "2014-01-21T18:57:05.000Z",
  "title": "Perturbations of symmetric elliptic Hamiltonians of degree four in a complex domain",
  "authors": [
    "Bassem Ben Hamed",
    "Ameni Gargouri",
    "Lubomir Gavrilov"
  ],
  "comment": "11 pages, 5 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "The cyclicity of the exterior period annulus of the asymmetrically perturbed Duffing oscillator is a well known problem extensively studied in the literature. In the present paper we provide a complete bifurcation diagram for the number of the zeros of the associated Melnikov function in a suitable complex domain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-21T18:57:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C07"
    ],
    "keywords": [
      "symmetric elliptic hamiltonians",
      "perturbations",
      "exterior period annulus",
      "complete bifurcation diagram",
      "suitable complex domain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.5419B"
    }
  }
}