{
  "id": "0805.0324",
  "version": "v1",
  "published": "2008-05-02T21:40:49.000Z",
  "updated": "2008-05-02T21:40:49.000Z",
  "title": "Width of homoclinic zone for quadratic maps",
  "authors": [
    "Vassili Gelfreich",
    "Vincent Naudot"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study several families of planar quadratic diffeomorphisms near a Bogdanov-Takens bifurcation. For each family, the associate bifurcation diagram can be deduced from the interpolating flow. However, a zone of chaos confined between two lines of homoclinic bifurcation that are exponentially close to one-another is observed. The goal of this paper is to test numerically an accurate asymptotic expansion for the width of this chaotic zone for different families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-02T21:40:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D45",
      "37E30",
      "37G10"
    ],
    "keywords": [
      "quadratic maps",
      "homoclinic zone",
      "planar quadratic diffeomorphisms",
      "accurate asymptotic expansion",
      "associate bifurcation diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0324G"
    }
  }
}