{
  "id": "1810.01167",
  "version": "v1",
  "published": "2018-10-02T10:51:16.000Z",
  "updated": "2018-10-02T10:51:16.000Z",
  "title": "Dynamics Of Finitely Generated Non-Autonomous Systems",
  "authors": [
    "Manish Raghav",
    "Puneet Sharma"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we discuss dynamical behavior of a non-autonomous system generated by a finite family $\\mathbb{F}$. In the process, we relate the dynamical behavior of the non-autonomous system generated by the family $\\mathbb{F}=\\{f_1,f_2,\\ldots,f_k\\}$ with the dynamical behavior of the system $(X,f_k\\circ f_{k-1}\\circ\\ldots\\circ f_1)$. We discuss properties like minimality, equicontinuity, proximality and various forms of sensitivities for the two systems. We derive conditions under which the dynamical behavior of $(X,f_k\\circ f_{k-1}\\circ\\ldots\\circ f_1)$ is carried forward to $(X,\\mathbb{F})$ (and vice-versa). We also give examples to illustrate the necessity of the conditions imposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-02T10:51:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B20",
      "37B55",
      "54H20"
    ],
    "keywords": [
      "finitely generated non-autonomous systems",
      "dynamical behavior",
      "properties",
      "minimality",
      "equicontinuity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}