{
  "id": "1008.3368",
  "version": "v3",
  "published": "2010-08-19T19:03:45.000Z",
  "updated": "2011-06-18T14:01:11.000Z",
  "title": "A differential algorithm for the Lyapunov spectrum",
  "authors": [
    "Tomasz Stachowiak",
    "Marek Szydlowski"
  ],
  "comment": "11 pages with 8 figures, 3rd version with corrected typos, a new numerical example and slightly expanded conclusions/introduction",
  "journal": "Physica D 240 (2011) 1221-1227",
  "doi": "10.1016/j.physd.2011.04.007",
  "categories": [
    "math.DS",
    "math.NA",
    "nlin.CD"
  ],
  "abstract": "We present a new algorithm for computing the Lyapunov exponents spectrum based on a matrix differential equation. The approach belongs to the so called continuous type, where the rate of expansion of perturbations is obtained for all times, and the exponents are reached as the limit at infinity. It does not involve exponentially divergent quantities so there is no need of rescaling or realigning of the solution. We show the algorithm's advantages and drawbacks using mainly the example of a particle moving between two contracting walls.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-06-18T14:01:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37M25"
    ],
    "keywords": [
      "lyapunov spectrum",
      "differential algorithm",
      "lyapunov exponents spectrum",
      "matrix differential equation",
      "algorithms advantages"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica D Nonlinear Phenomena",
      "year": 2011,
      "month": "Aug",
      "volume": 240,
      "number": 16,
      "pages": 1221
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhyD..240.1221S"
    }
  }
}