{
  "id": "1903.01187",
  "version": "v1",
  "published": "2019-03-04T11:47:51.000Z",
  "updated": "2019-03-04T11:47:51.000Z",
  "title": "Some criteria of chaos in non-autonomous discrete systems",
  "authors": [
    "Hua Shao",
    "Guanrong Chen",
    "Yuming Shi"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper establishes some criteria of chaos in non-autonomous discrete systems. Several criteria of strong Li-Yorke chaos are given. Based on these results, some criteria of distributional chaos in a sequence are established. Moreover, several criteria of distributional chaos induced by coupled-expansion for an irreducible transition matrix are obtained. Some of these results not only extend the existing related results for autonomous discrete systems to non-autonomous discrete systems, but also relax the assumptions of the counterparts. One example is provided for illustration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-04T11:47:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B55",
      "37D45",
      "37B10"
    ],
    "keywords": [
      "non-autonomous discrete systems",
      "distributional chaos",
      "strong li-yorke chaos",
      "irreducible transition matrix",
      "paper establishes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}