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Bifurcation Chaos"],"published-print":{"date-parts":[[2017,7]]},"abstract":"<jats:p> Let [Formula: see text] be a compact metric space and [Formula: see text] be an [Formula: see text]-tuple of continuous selfmaps on [Formula: see text]. This paper investigates Hausdorff metric Li\u2013Yorke chaos, distributional chaos and distributional chaos in a sequence from a set-valued view. On the basis of this research, we draw the main conclusions as follows: (i) If [Formula: see text] has a distributionally chaotic pair, especially [Formula: see text] is distributionally chaotic, the strongly nonwandering set [Formula: see text] contains at least two points. (ii) We give a sufficient condition for [Formula: see text] to be distributionally chaotic in a sequence and chaotic in the strong sense of Li\u2013Yorke. Finally, an example to verify (ii) is given. <\/jats:p>","DOI":"10.1142\/s021812741750119x","type":"journal-article","created":{"date-parts":[[2017,8,10]],"date-time":"2017-08-10T03:54:31Z","timestamp":1502337271000},"page":"1750119","source":"Crossref","is-referenced-by-count":2,"title":["Chaos to Multiple Mappings"],"prefix":"10.1142","volume":"27","author":[{"given":"Lidong","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Dalian Nationalities University, Dalian 116600, P. R. China"},{"name":"Institute of Information and System Science, Beifang University of Nationalities, Yinchuan 750021, P. R. China"}]},{"given":"Yingcui","family":"Zhao","sequence":"additional","affiliation":[{"name":"Institute of Information and System Science, Beifang University of Nationalities, Yinchuan 750021, P. R. China"}]},{"given":"Yuelin","family":"Gao","sequence":"additional","affiliation":[{"name":"Institute of Information and System Science, Beifang University of Nationalities, Yinchuan 750021, P. R. China"}]},{"given":"Heng","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Dalian Nationalities University, Dalian 116600, P. R. 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