{
  "id": "1710.00029",
  "version": "v1",
  "published": "2017-09-29T18:52:50.000Z",
  "updated": "2017-09-29T18:52:50.000Z",
  "title": "Arnold diffusion for a complete family of perturbations with two independent harmonics",
  "authors": [
    "Amadeu Delshams",
    "Rodrigo G. Schaefer"
  ],
  "comment": "23 pages, 14 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-29T18:52:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37J40"
    ],
    "keywords": [
      "independent harmonics",
      "arnold diffusion",
      "complete family",
      "piecewise smooth global scattering maps",
      "complete description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}