{
  "id": "1312.4846",
  "version": "v2",
  "published": "2013-12-16T02:59:45.000Z",
  "updated": "2014-12-19T04:34:41.000Z",
  "title": "Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems",
  "authors": [
    "Hyonhui Ju",
    "Jinhyon Kim",
    "Peter Raith"
  ],
  "comment": "17 pages, 0 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including $A$-coupled expanding systems. We prove that Li-Yorke pairs of $A$- coupled-expanding system under some conditions have full hausdorff dimension on the invariant set. we generalize the result of [8] on the Hausdorff dimension of Li-Yorke pairs of dynamical systems topologically conjugate to the full shift and having a self-similar invariant set to the case of dynamical system conjugated to some kind of subshifts. And Hausdorff dimension of \"chaotic invariant set\" for some kind of A-coupled-expanding maps is shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-16T02:59:45.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-12-19T04:34:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "li-yorke pairs",
      "chaotic dynamical systems",
      "a-coupled expanding systems",
      "full hausdorff dimension",
      "self-similar invariant set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.4846J"
    }
  }
}