{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:25Z","timestamp":1740134545586,"version":"3.37.3"},"reference-count":10,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271061","11001038","61153001","DC 12010111"],"award-info":[{"award-number":["11271061","11001038","61153001","DC 12010111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271061","11001038","61153001","DC 12010111"],"award-info":[{"award-number":["11271061","11001038","61153001","DC 12010111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271061","11001038","61153001","DC 12010111"],"award-info":[{"award-number":["11271061","11001038","61153001","DC 12010111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Independent Research Foundation of the Central Universities","award":["11271061","11001038","61153001","DC 12010111"],"award-info":[{"award-number":["11271061","11001038","61153001","DC 12010111"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system is distributively chaotic in a sequence, when it is chaotic in the strong sense of Li-Yorke.<\/jats:p>","DOI":"10.1155\/2013\/212036","type":"journal-article","created":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T17:03:22Z","timestamp":1364490202000},"page":"1-4","source":"Crossref","is-referenced-by-count":0,"title":["Chaos for Discrete Dynamical System"],"prefix":"10.1155","volume":"2013","author":[{"given":"Lidong","family":"Wang","sequence":"first","affiliation":[{"name":"Information and Computational Science department, Beifang University of Nationality, Yinchuan, Ningxia 750021, China"},{"name":"School of Science, Dalian Nationalities University, Dalian, Liaoning 116600, China"}]},{"given":"Heng","family":"Liu","sequence":"additional","affiliation":[{"name":"Information and Computational Science department, Beifang University of Nationality, Yinchuan, Ningxia 750021, China"},{"name":"School of Science, Dalian Nationalities University, Dalian, Liaoning 116600, China"}]},{"given":"Yuelin","family":"Gao","sequence":"additional","affiliation":[{"name":"Information and Computational Science department, Beifang University of Nationality, Yinchuan, Ningxia 750021, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.2307\/2318254"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.09.005"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-09-04810-7"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/9781118032879"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.2307\/2691012"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1007\/s00025-011-0188-8"},{"volume":"2","year":"1990","key":"7"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.4064\/ap78-2-3"},{"issue":"4","key":"9","first-page":"752","volume":"45","year":"2002","journal-title":"Acta Mathematica Sinica"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s11425-004-5234-5"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/212036.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/212036.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/212036.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,30]],"date-time":"2016-07-30T07:36:49Z","timestamp":1469864209000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/212036\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":10,"alternative-id":["212036","212036"],"URL":"https:\/\/doi.org\/10.1155\/2013\/212036","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}