{
  "id": "math/0009028",
  "version": "v1",
  "published": "2000-09-04T06:47:23.000Z",
  "updated": "2000-09-04T06:47:23.000Z",
  "title": "Convergence or generic divergence of Birkhoff normal form",
  "authors": [
    "Ricardo Perez-Marco"
  ],
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "We prove that Birkhoff normal form of hamiltonian flows at a non-resonant singular point with given quadratic part are always convergent or generically divergent. The same result is proved for the normalization mapping and any formal first integral.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-04T06:47:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K45",
      "34M35",
      "37J40",
      "37J30"
    ],
    "keywords": [
      "birkhoff normal form",
      "generic divergence",
      "convergence",
      "non-resonant singular point",
      "formal first integral"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......9028P"
    }
  }
}