{
  "id": "1108.5975",
  "version": "v1",
  "published": "2011-08-30T15:06:00.000Z",
  "updated": "2011-08-30T15:06:00.000Z",
  "title": "KAM theory for lower dimensional tori within the reversible context 2",
  "authors": [
    "Mikhail B. Sevryuk"
  ],
  "comment": "21 pages; dedicated to the memory of Vladimir Igorevich Arnold who is so unexpectedly gone",
  "journal": "Moscow Math. J., 2012, v. 12, N 2, pp. 435-455",
  "categories": [
    "math.DS"
  ],
  "abstract": "The reversible context 2 in KAM theory refers to the situation where dim Fix G < (1/2) codim T, here Fix G is the fixed point manifold of the reversing involution G and T is the invariant torus one deals with. Up to now, the persistence of invariant tori in the reversible context 2 has been only explored in the extreme particular case where dim Fix G = 0 [M. B. Sevryuk, Regul. Chaotic Dyn. 16 (2011), no. 1-2, 24-38]. We obtain a KAM-type result for the reversible context 2 in the general situation where the dimension of Fix G is arbitrary. As in the case where dim Fix G = 0, the main technical tool is J. Moser's modifying terms theorem of 1967.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-30T15:06:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K43",
      "70H33"
    ],
    "keywords": [
      "reversible context",
      "lower dimensional tori",
      "dim fix",
      "invariant torus",
      "kam theory refers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.5975S"
    }
  }
}