{
  "id": "1401.2349",
  "version": "v2",
  "published": "2014-01-09T14:11:36.000Z",
  "updated": "2015-01-06T09:31:58.000Z",
  "title": "A-coupled-expanding and distributional chaos",
  "authors": [
    "Cholsan Kim",
    "Hyonhui Ju",
    "Peter Raith"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "The concept of A-coupled-expanding map, which is one of the more natural and useful ideas generalized the horseshoe map, is well known as a criterion of chaos. It is well known that distributional chaos is one of the concepts which reflect strong chaotic behaviour. In this paper, we focus the relations between A-coupled-expanding and distributional chaos. We prove two theorems that give sufficient conditions for a strictly A-coupled-expanding map to be distributionally chaotic in the senses of two kinds, where A is an irreducible transition matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-09T14:11:36.000Z",
      "abstract": "In this paper, some relations between $A$-coupled-expanding and distributional chaos are studied, where $A$ is a transition matrix. It is shown that $A$-coupled-expanding maps satisfying certain conditions are distributionally chaotic in a sequence. Satisfying a stronger condition they behave even distributionally chaotic.",
      "comment": "9 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-06T09:31:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37B99"
    ],
    "keywords": [
      "distributional chaos",
      "distributionally chaotic",
      "a-coupled-expanding",
      "transition matrix"
    ],
    "publication": {
      "doi": "10.1016/j.chaos.2015.06.010",
      "journal": "Chaos Solitons and Fractals",
      "year": 2015,
      "month": "Aug",
      "volume": 77,
      "pages": 291
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CSF....77..291K"
    }
  }
}