{
  "id": "1709.04373",
  "version": "v1",
  "published": "2017-09-13T15:13:32.000Z",
  "updated": "2017-09-13T15:13:32.000Z",
  "title": "Families of invariant tori in KAM theory: interplay of integer characteristics",
  "authors": [
    "Mikhail B. Sevryuk"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "The purpose of this brief note is twofold. First, we summarize in a very concise form the principal information on Whitney smooth families of quasi-periodic invariant tori in various contexts of KAM theory. Our second goal is to attract (via an informal discussion and a simple example) the experts' attention to the peculiarities of the so-called excitation of elliptic normal modes in the reversible context 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-13T15:13:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J40",
      "70H08",
      "70H33",
      "70K43"
    ],
    "keywords": [
      "kam theory",
      "integer characteristics",
      "quasi-periodic invariant tori",
      "elliptic normal modes",
      "whitney smooth families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}