{
  "id": "1204.1161",
  "version": "v1",
  "published": "2012-04-05T09:36:36.000Z",
  "updated": "2012-04-05T09:36:36.000Z",
  "title": "Hyperbolicity and Stability for Hamiltonian flows",
  "authors": [
    "M. Bessa",
    "M. J. Torres",
    "J. Rocha"
  ],
  "comment": "16 pages",
  "journal": "Journal of Differential Equations, vol 254, 1, 309-322, 2013",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that a Hamiltonian star system, defined on a 2d-dimensional symplectic manifold M, is Anosov. As a consequence we obtain the proof of the stability conjecture for Hamiltonians. This generalizes the 4-dimensional results in [6].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-05T09:36:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamiltonian flows",
      "hyperbolicity",
      "hamiltonian star system",
      "2d-dimensional symplectic manifold",
      "stability conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2012.08.010",
      "journal": "Journal of Differential Equations",
      "year": 2013,
      "volume": 254,
      "number": 1,
      "pages": 309
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JDE...254..309B"
    }
  }
}