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We show that for [Formula: see text], the generic system in any of the spaces has infinite topological entropy, while, if [Formula: see text] is the Cantor set, the generic system in any of the spaces has zero topological entropy. This shows, among others, that the general results of the above type for arbitrary compact space [Formula: see text] are difficult if not impossible.<\/jats:p>","DOI":"10.1142\/s021812741850102x","type":"journal-article","created":{"date-parts":[[2018,8,8]],"date-time":"2018-08-08T09:30:23Z","timestamp":1533720623000},"page":"1850102","source":"Crossref","is-referenced-by-count":4,"title":["On Generic Properties of Nonautonomous Dynamical Systems"],"prefix":"10.1142","volume":"28","author":[{"given":"Francisco","family":"Balibrea","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jaroslav","family":"Sm\u00edtal","sequence":"additional","affiliation":[{"name":"Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marta","family":"\u0160tef\u00e1nkov\u00e1","sequence":"additional","affiliation":[{"name":"Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,8,8]]},"reference":[{"key":"S021812741850102XBIB001","doi-asserted-by":"publisher","DOI":"10.1142\/4205"},{"key":"S021812741850102XBIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2012.02.021"},{"key":"S021812741850102XBIB003","doi-asserted-by":"publisher","DOI":"10.1080\/10236190500424274"},{"key":"S021812741850102XBIB004","doi-asserted-by":"publisher","DOI":"10.1080\/10236190903049025"},{"key":"S021812741850102XBIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2011.03.065"},{"key":"S021812741850102XBIB006","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2013-11717-X"},{"key":"S021812741850102XBIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.06.005"},{"key":"S021812741850102XBIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2014.08.007"},{"key":"S021812741850102XBIB009","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700007082"},{"key":"S021812741850102XBIB010","first-page":"205","volume":"4","author":"Kolyada S. 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