{
  "id": "0902.3266",
  "version": "v1",
  "published": "2009-02-19T14:04:50.000Z",
  "updated": "2009-02-19T14:04:50.000Z",
  "title": "The link between the shape of the Aubry-Mather sets and their Lyapunov exponents",
  "authors": [
    "Marie-Claude Arnaud"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the irrational Aubry-Mather sets of an exact symplectic monotone twist map and explain what is the link between the Lyapunov exponents and the shape of such a set. The main tools that we use in the proofs are the so-called Green bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-19T14:04:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37C40",
      "37D25",
      "37E40"
    ],
    "keywords": [
      "lyapunov exponents",
      "exact symplectic monotone twist map",
      "irrational aubry-mather sets",
      "main tools"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3266A"
    }
  }
}