{
  "id": "1710.07942",
  "version": "v1",
  "published": "2017-10-22T14:01:27.000Z",
  "updated": "2017-10-22T14:01:27.000Z",
  "title": "Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems",
  "authors": [
    "Qinbo Chen",
    "Chong-Qing Cheng"
  ],
  "comment": "36 pages, 6 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "It is well known that under generic $C^r$ perturbations, Arnold diffusion exists in the a priori unstable Hamiltonian systems. In this paper, by using variational method, we prove that under generic Gevrey-smooth perturbations, Arnold diffusion still exists in the a priori unstable Hamiltonian systems with two and a half degrees of freedom.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-22T14:01:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Jxx",
      "70Hxx"
    ],
    "keywords": [
      "priori unstable hamiltonian systems",
      "arnold diffusion",
      "gevrey genericity",
      "generic gevrey-smooth perturbations",
      "half degrees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}