{
  "id": "1106.6137",
  "version": "v1",
  "published": "2011-06-30T08:02:22.000Z",
  "updated": "2011-06-30T08:02:22.000Z",
  "title": "Variational destruction of invariant circles",
  "authors": [
    "Lin Wang"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a sequence of generating functions $(h_n)_{n\\in\\N}$, arbitrarily close to an integrable system in the $C^r$ topology with $r<4$ for $n$ large enough. With the variational method, we prove that for a given rotation number $\\omega$ and $n$ large enough, the exact monotone area-preserving twist maps generated by $(h_n)_{n\\in\\N}$ admit no invariant circles with rotation number $\\omega$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-30T08:02:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "invariant circles",
      "variational destruction",
      "exact monotone area-preserving twist maps",
      "rotation number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.6137W"
    }
  }
}