{
  "id": "1110.2296",
  "version": "v1",
  "published": "2011-10-11T08:16:57.000Z",
  "updated": "2011-10-11T08:16:57.000Z",
  "title": "Quasi-periodic perturbations within the reversible context 2 in KAM theory",
  "authors": [
    "Mikhail B. Sevryuk"
  ],
  "comment": "15 pages",
  "journal": "Indagationes Mathematicae, 2012, v. 23, N 3, pp. 137-150",
  "categories": [
    "math.DS"
  ],
  "abstract": "The paper consists of two sections. In Section 1, we give a short review of KAM theory with an emphasis on Whitney smooth families of invariant tori in typical Hamiltonian and reversible systems. In Section 2, we prove a KAM-type result for non-autonomous reversible systems (depending quasi-periodically on time) within the almost unexplored reversible context 2. This context 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-11T08:16:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K43",
      "70H33",
      "37J40",
      "70H08"
    ],
    "keywords": [
      "kam theory",
      "reversible context",
      "quasi-periodic perturbations",
      "invariant torus",
      "whitney smooth families"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.2296S"
    }
  }
}