{
  "id": "math/0301068",
  "version": "v1",
  "published": "2003-01-08T15:44:15.000Z",
  "updated": "2003-01-08T15:44:15.000Z",
  "title": "The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems",
  "authors": [
    "G. Sardanashvily"
  ],
  "comment": "4 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Written with respect to an appropriate Poisson structure, a partially integrable Hamiltonian system is viewed as a completely integrable system with parameters. Then, the theorem on quasi-periodic stability in Ref. [1] (the KAM theorem) can be applied to this system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-08T15:44:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J40",
      "70H08"
    ],
    "keywords": [
      "quasi-periodic stability condition",
      "kam theorem",
      "partially-integrable systems",
      "appropriate poisson structure",
      "partially integrable hamiltonian system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1068S"
    }
  }
}