{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,21]],"date-time":"2026-01-21T19:49:45Z","timestamp":1769024985919,"version":"3.49.0"},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,7]]},"abstract":"<jats:p> In the eighties, Misiurewicz, Bruckner and Hu provided examples of functions chaotic in the sense of Li and Yorke almost everywhere. In this paper we show that similar results are true for distributional chaos, introduced in [Schweizer &amp; Sm\u00edtal, 1994]. In fact, we show that any bitransitive continuous map of the interval is conjugate to a map uniformly distributionally chaotic almost everywhere. Using a result of A. M. Blokh we get as a consequence that for any map f with positive topological entropy there is a k such that f<jats:sup>k<\/jats:sup> is semiconjugate to a continuous map uniformly distributionally chaotic almost everywhere, and consequently, chaotic in the sense of Li and Yorke almost everywhere. <\/jats:p>","DOI":"10.1142\/s0218127403007540","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T09:49:31Z","timestamp":1062064171000},"page":"1695-1700","source":"Crossref","is-referenced-by-count":6,"title":["Extreme Chaos and Transitivity"],"prefix":"10.1142","volume":"13","author":[{"given":"Marta","family":"Babilonov\u00e1-\u0160tef\u00e1nkov\u00e1","sequence":"first","affiliation":[{"name":"Mathematical Institute, Silesian University, 746 01 Opava, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0084762"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61215-2_1"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1987-0879574-0"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1966-0207921-3"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1172952-3"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1984-0749887-4"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0076425"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1994-1227094-X"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.2307\/2044350"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.2307\/2045151"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007540","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:16:29Z","timestamp":1565136989000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007540"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":10,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,7]]}},"alternative-id":["10.1142\/S0218127403007540"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007540","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}