{
  "id": "2308.11163",
  "version": "v1",
  "published": "2023-08-22T03:44:58.000Z",
  "updated": "2023-08-22T03:44:58.000Z",
  "title": "S-limit shadowing and a global description of Li-Yorke type chaos",
  "authors": [
    "Noriaki Kawaguchi"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "For any continuous self-map of a compact metric space, we extend a partition of each chain component with respect to a chain proximal relation to a $G_\\delta$-partition of the phase space. Under the assumption of s-limit shadowing, we use this partition to give a global description of Li-Yorke type chaos corresponding to several Furstenberg families.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-22T03:44:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05",
      "37B35",
      "37B65",
      "37D45"
    ],
    "keywords": [
      "global description",
      "s-limit shadowing",
      "compact metric space",
      "chain proximal relation",
      "furstenberg families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}