{
  "id": "1204.5893",
  "version": "v1",
  "published": "2012-04-26T11:52:20.000Z",
  "updated": "2012-04-26T11:52:20.000Z",
  "title": "Boundaries of instability zones for symplectic twist maps",
  "authors": [
    "Marie-Claude Arnaud"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a $C^2$ symplectic twist map f of the annulus that has an essential invariant curve C such that: - C is not differentiable; - the dynamics of f restricted to C is conjugated to the one of a Denjoy counter-example; - C is at the boundary of an instability zone for f.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-26T11:52:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symplectic twist map",
      "instability zone",
      "essential invariant curve",
      "denjoy counter-example"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5893A"
    }
  }
}