{
  "id": "1004.5029",
  "version": "v3",
  "published": "2010-04-28T13:42:23.000Z",
  "updated": "2011-06-22T23:07:45.000Z",
  "title": "Perturbation of the Lyapunov spectra of periodic orbits",
  "authors": [
    "Jairo Bochi",
    "Christian Bonatti"
  ],
  "comment": "A few improvements were made, based on the referee's suggestions",
  "doi": "10.1112/plms/pdr048",
  "categories": [
    "math.DS"
  ],
  "abstract": "We describe all Lyapunov spectra that can be obtained by perturbing the derivatives along periodic orbits of a diffeomorphism. The description is expressed in terms of the finest dominated splitting and Lyapunov exponents that appear in the limit of a sequence of periodic orbits, and involves the majorization partial order. Among the applications, we give a simple criterion for the occurrence of universal dynamics.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-22T23:07:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic orbits",
      "lyapunov spectra",
      "perturbation",
      "majorization partial order",
      "universal dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.5029B"
    }
  }
}