{
  "id": "1612.07653",
  "version": "v1",
  "published": "2016-12-22T15:42:16.000Z",
  "updated": "2016-12-22T15:42:16.000Z",
  "title": "Herman's approach to quasi-periodic perturbations in the reversible KAM context 2",
  "authors": [
    "Mikhail B. Sevryuk"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We revisit non-autonomous systems depending quasi-periodically in time within the reversible context 2 of KAM theory and obtain Whitney smooth families of invariant tori in such systems via Herman's method. The reversible KAM context 2 refers to the situation where the dimension of the fixed point manifold of the reversing involution is less than half the codimension of the invariant torus in question.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-22T15:42:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K43",
      "70H33"
    ],
    "keywords": [
      "reversible kam context",
      "quasi-periodic perturbations",
      "hermans approach",
      "invariant torus",
      "whitney smooth families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}