{
  "id": "1503.04153",
  "version": "v1",
  "published": "2015-03-13T17:19:59.000Z",
  "updated": "2015-03-13T17:19:59.000Z",
  "title": "Arnold diffusion in nearly integrable Hamiltonian systems of arbitrary degrees of freedom",
  "authors": [
    "Chong-Qing Cheng",
    "Jinxin Xue"
  ],
  "comment": "109 pages, 10 figures. Comments welcome!",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, as a continuation of \\cite{Ch12}, Arnold diffusion is proved to be a generic phenomenon in nearly integrable convex Hamiltonian systems with arbitrarily many degrees of freedom: $$ H(x,y)=h(y)+\\eps P(x,y), \\qquad x\\in\\mathbb{T}^n,\\ y\\in\\mathbb{R}^n,\\quad n\\geq 3. $$ Under typical perturbation $\\eps P$, the system admits \"connecting\" orbit that passes through any finitely many prescribed small balls in the same energy level $H^{-1}(E)$ provided $E>\\min h$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-13T17:19:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrable hamiltonian systems",
      "arnold diffusion",
      "arbitrary degrees",
      "integrable convex hamiltonian systems",
      "system admits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 109,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150304153C"
    }
  }
}