{
  "id": "0906.4363",
  "version": "v2",
  "published": "2009-06-23T21:35:42.000Z",
  "updated": "2009-09-29T19:43:40.000Z",
  "title": "On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields",
  "authors": [
    "Lubomir Gavrilov"
  ],
  "comment": "revised version : we added an Appendix The paper is an extended version of my talk on the conference \"Singularites des champs de vecteurs du plan, bifurcations et applications\" held in CIRM, Luminy (France), 11-15 May, 2009",
  "journal": "Bull Braz Math Soc, New Series 42(1), 1-23 (2011)",
  "categories": [
    "math.DS"
  ],
  "abstract": "We find an upper bound to the maximal number of limit cycles, which bifurcate from a hamiltonian two-saddle loop of an analytic vector field, under an analytic deformation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-29T19:43:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C07",
      "34C08",
      "34C05"
    ],
    "keywords": [
      "planar vector fields",
      "hamiltonian two-saddle cycles",
      "limit cycles",
      "perturbation",
      "hamiltonian two-saddle loop"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4363G"
    }
  }
}