{
  "id": "1707.07786",
  "version": "v1",
  "published": "2017-07-25T01:35:51.000Z",
  "updated": "2017-07-25T01:35:51.000Z",
  "title": "Chaotic dynamics of minimal center of attraction for a flow with discrete amenable phase group",
  "authors": [
    "Zhijing Chen",
    "Xiongping Dai"
  ],
  "comment": "15 pages; to appear in JMAA",
  "categories": [
    "math.DS",
    "math.GN"
  ],
  "abstract": "Let $G$ be a discrete infinite amenable group, which acts from the left on a compact metric space $X$. In this paper, we study the chaotic dynamics exhibited inside and near a minimal center of attraction of $(G,X)$ relative to any F{\\o}lner net in $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-25T01:35:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B20",
      "37B05",
      "54H20"
    ],
    "keywords": [
      "discrete amenable phase group",
      "minimal center",
      "chaotic dynamics",
      "attraction",
      "discrete infinite amenable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}