{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,24]],"date-time":"2025-09-24T10:19:36Z","timestamp":1758709176962,"version":"3.37.3"},"reference-count":21,"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":["60474011","60904005","2009CDB026","2012M511615"],"award-info":[{"award-number":["60474011","60904005","2009CDB026","2012M511615"]}],"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":["60474011","60904005","2009CDB026","2012M511615"],"award-info":[{"award-number":["60474011","60904005","2009CDB026","2012M511615"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Hubei Provincial Natural Science Foundation of China","award":["60474011","60904005","2009CDB026","2012M511615"],"award-info":[{"award-number":["60474011","60904005","2009CDB026","2012M511615"]}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["60474011","60904005","2009CDB026","2012M511615"],"award-info":[{"award-number":["60474011","60904005","2009CDB026","2012M511615"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>This paper introduces a new series of three-dimensional chaotic systems with cross-product nonlinearities. Based on some conditions, we analyze the globally exponentially or globally conditional exponentially attractive set and positive invariant set of these chaotic systems. Moreover, we give some known examples to show our results, and the exponential estimation is explicitly derived. Finally, we construct some three-dimensional chaotic systems with cross-product nonlinearities and study the switching system between them.<\/jats:p>","DOI":"10.1155\/2013\/590421","type":"journal-article","created":{"date-parts":[[2013,2,24]],"date-time":"2013-02-24T16:02:27Z","timestamp":1361721747000},"page":"1-14","source":"Crossref","is-referenced-by-count":5,"title":["A New Series of Three-Dimensional Chaotic Systems with Cross-Product Nonlinearities and Their Switching"],"prefix":"10.1155","volume":"2013","author":[{"given":"Xinquan","family":"Zhao","sequence":"first","affiliation":[{"name":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China"}]},{"given":"Feng","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, China"}]},{"given":"Zhigang","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Statistics and Applied Mathematics, Hubei University of Economics, Wuhan 430205, China"}]},{"given":"Junhao","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1142\/S0218126694000090","volume":"4","year":"1994","journal-title":"Journal of Circuits, Systems, and Computers"},{"key":"2","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","year":"1963","journal-title":"Journal of the Atmospheric Sciences"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127497001837"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1017964715240"},{"key":"5","first-page":"397","volume":"15","year":"1976","journal-title":"Physics Letters A"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1017\/S0022112092003392"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001024"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402005467"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127400001183"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403006509"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740401014X"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411030027"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.09.015"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.joi.2010.06.002"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.51.759"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/0005-1098(92)90177-H"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(93)90292-9"},{"key":"21","first-page":"17011","volume":"5","year":"1995","journal-title":"International Journal of Bifurcation and Chaos"},{"key":"11","first-page":"715","volume":"37","year":"2007","journal-title":"Science in China. Series E"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-008-0024-2"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.10.008"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/590421.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/590421.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/590421.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T04:10:07Z","timestamp":1498018207000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/590421\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":21,"alternative-id":["590421","590421"],"URL":"https:\/\/doi.org\/10.1155\/2013\/590421","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}