{
  "id": "0905.3924",
  "version": "v1",
  "published": "2009-05-24T21:46:03.000Z",
  "updated": "2009-05-24T21:46:03.000Z",
  "title": "Computer assisted proof of the existence of homoclinic tangency for the Henon map and for the forced-damped pendulum",
  "authors": [
    "Daniel Wilczak",
    "Piotr Zgliczynski"
  ],
  "comment": "34 pages, 3 figures",
  "categories": [
    "math.DS",
    "math.NA"
  ],
  "abstract": "We present a topological method for the efficient computer assisted verification of the existence of the homoclinic tangency which unfolds generically in a one-parameter family of planar maps. The method has been applied to the Henon map and the forced damped pendulum ODE.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-24T21:46:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37N30",
      "37M20",
      "34C37"
    ],
    "keywords": [
      "computer assisted proof",
      "homoclinic tangency",
      "henon map",
      "forced-damped pendulum",
      "efficient computer assisted verification"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1137/090759975",
      "journal": "SIAM Journal on Applied Dynamical Systems",
      "year": 2009,
      "month": "Jan",
      "volume": 8,
      "pages": 1632
    },
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SJADS...8.1632W"
    }
  }
}