{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T15:43:58Z","timestamp":1649173438119},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p> For each \u03bb \u2208 [0, 1], \u03bb-power distributional chaos has been defined via Furstenberg families to strengthen distributional chaos. For the sake of distinguishing them, we present a class of dynamical systems, called wedge-shape systems. Through a thorough analysis of dynamical behaviors of all point-pairs, we show that wedge-shape systems can be \u03bb-power distributionally chaotic and admit no \u03bb\u2032-power distributionally scrambled pairs for any \u03bb\u2032 \u2208 [0, \u03bb). Then we unfold a picture of distributional chaos with rich hierarchical structures, which helps to improve our comprehension of the diversity of chaos. <\/jats:p>","DOI":"10.1142\/s0218127415500017","type":"journal-article","created":{"date-parts":[[2015,2,2]],"date-time":"2015-02-02T10:03:54Z","timestamp":1422871434000},"page":"1550001","source":"Crossref","is-referenced-by-count":3,"title":["The Hierarchy of Distributional Chaos"],"prefix":"10.1142","volume":"25","author":[{"given":"Heman","family":"Fu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jincheng","family":"Xiong","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huoyun","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guangzhou University, Guangzhou 510006, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,2,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2668-8"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.08.068"},{"key":"rf3","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1017\/S0143385701001079","volume":"21","author":"Huang W.","year":"2001","journal-title":"Ergod. Th. Dyn. Syst."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.2307\/2318254"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.2307\/2154504"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.topol.2008.08.006"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-012-4529-1"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-007-0052-1"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-013-4720-z"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415500017","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:54:52Z","timestamp":1565200492000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415500017"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,1]]},"references-count":9,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2015,2,2]]},"published-print":{"date-parts":[[2015,1]]}},"alternative-id":["10.1142\/S0218127415500017"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415500017","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,1]]}}}