{
  "id": "1805.07623",
  "version": "v1",
  "published": "2018-05-19T17:06:54.000Z",
  "updated": "2018-05-19T17:06:54.000Z",
  "title": "Induced Dynamics in Hyperspaces of Non-Autonomous Discrete Systems",
  "authors": [
    "Radhika Vasisht",
    "Ruchi Das"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, the interrelations of some dynamical properties of the non-autonomous dynamical system (X, f1;infinity) and its induced non-autonomous dynamical system (K(X), f1;infinity) are studied, where K(X) is the hyperspace of all non-empty compact subsets of X, endowed with Vietoris topology. Various stronger forms of sensitivity and transitivity are considered. Some examples of non-autonomous systems are provided to support the results. A relation between shadowing property of the non- autonomous system (X, f1;infinity) and its induced system (K(X), f1;infinity) is studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-19T17:06:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H20",
      "37B55",
      "54B20"
    ],
    "keywords": [
      "non-autonomous discrete systems",
      "induced dynamics",
      "hyperspace",
      "non-autonomous dynamical system",
      "non-empty compact subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}