{
  "id": "1809.06397",
  "version": "v1",
  "published": "2018-09-17T18:28:07.000Z",
  "updated": "2018-09-17T18:28:07.000Z",
  "title": "Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations",
  "authors": [
    "Janusz Mierczyński",
    "Sylvia Novo",
    "Rafael Obaya"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "Linear skew-product semidynamical systems generated by random systems of delay differential equations are considered, both on a space of continuous functions as~well as on a space of $p$-summable functions. The main result states that in both cases, the Lyapunov exponents are identical, and that the Oseledets decompositions are related by natural embeddings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-17T18:28:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H15",
      "37L55",
      "34K06",
      "37A30",
      "60H25"
    ],
    "keywords": [
      "delay differential equations",
      "random dynamical systems",
      "oseledets decomposition",
      "lyapunov exponents",
      "linear skew-product semidynamical systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}