{
  "id": "0803.2209",
  "version": "v1",
  "published": "2008-03-14T17:14:16.000Z",
  "updated": "2008-03-14T17:14:16.000Z",
  "title": "Upper bounds for the number of limit cycles of some planar polynomial differential systems",
  "authors": [
    "Armengol Gasull",
    "Hector Giacomini"
  ],
  "comment": "14 pages, O figures",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "We give an effective method for controlling the maximum number of limit cycles of some planar polynomial systems. It is based on a suitable choice of a Dulac function and the application of the well-known Bendixson-Dulac Criterion for multiple connected regions. The key point is a new approach to control the sign of the functions involved in the criterion. The method is applied to several examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-14T17:14:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C05",
      "34C07"
    ],
    "keywords": [
      "planar polynomial differential systems",
      "limit cycles",
      "upper bounds",
      "planar polynomial systems",
      "well-known bendixson-dulac criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.2209G"
    }
  }
}