{
  "id": "1404.1770",
  "version": "v1",
  "published": "2014-04-07T12:49:46.000Z",
  "updated": "2014-04-07T12:49:46.000Z",
  "title": "Non-integrability of dominated splitting on $\\mathbb{T}^2$",
  "authors": [
    "Baolin He",
    "Shaobo Gan"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct a diffeomorphism $f$ on 2-torus with a dominated splitting $E \\oplus F$ such that there exists an open neighborhood $\\mathcal{U} \\ni f$ satisfying that for any $g \\in \\mathcal{U}$, neither $E_g$ nor $F_g$ is integrable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-07T12:49:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30"
    ],
    "keywords": [
      "dominated splitting",
      "non-integrability"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/27/12/3179",
      "journal": "Nonlinearity",
      "year": 2014,
      "month": "Dec",
      "volume": 27,
      "number": 12,
      "pages": 3179
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014Nonli..27.3179H"
    }
  }
}