{
  "id": "1004.1462",
  "version": "v1",
  "published": "2010-04-09T06:08:32.000Z",
  "updated": "2010-04-09T06:08:32.000Z",
  "title": "Improved exponential stability for near-integrable quasi-convex Hamiltonians",
  "authors": [
    "Abed Bounemoura",
    "Jean-Pierre Marco"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-09T06:08:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "near-integrable quasi-convex hamiltonians",
      "exponential stability",
      "sharper upper bound",
      "quasi-convex integrable hamiltonian systems",
      "gevrey perturbations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/24/1/005",
      "journal": "Nonlinearity",
      "year": 2011,
      "month": "Jan",
      "volume": 24,
      "number": 1,
      "pages": 97
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011Nonli..24...97B"
    }
  }
}