{
  "id": "1605.02586",
  "version": "v1",
  "published": "2016-05-09T13:53:23.000Z",
  "updated": "2016-05-09T13:53:23.000Z",
  "title": "Whitney Smooth Families of Invariant Tori within the Reversible Context 2 of KAM Theory",
  "authors": [
    "Mikhail B. Sevryuk"
  ],
  "comment": "32 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove a general theorem on the persistence of Whitney infinitely smooth families of invariant tori in the reversible context 2 of KAM theory. This context refers to the situation where dim Fix G < (codim T)/2 where Fix G is the fixed point manifold of the reversing involution G and T is the invariant torus in question. Our result is obtained as a corollary of the theorem by H.W.Broer, M.-C.Ciocci, H.Hanssmann, and A.Vanderbauwhede of 2009 concerning quasi-periodic stability of invariant tori with singular \"normal\" matrices in reversible systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-09T13:53:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K43",
      "70H33"
    ],
    "keywords": [
      "invariant torus",
      "whitney smooth families",
      "kam theory",
      "reversible context",
      "whitney infinitely smooth families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}