{
  "id": "math/0104279",
  "version": "v5",
  "published": "2001-04-29T02:25:00.000Z",
  "updated": "2003-12-04T13:14:30.000Z",
  "title": "Convergence versus integrability in Birkhoff normal form",
  "authors": [
    "Nguyen Tien Zung"
  ],
  "comment": "final version, slightly improved presentation",
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the problem.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2003-12-04T13:14:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "birkhoff normal form",
      "convergence",
      "integrability",
      "equilibrium point admits",
      "convergent birkhoff normalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4279T"
    }
  }
}