{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:17:37Z","timestamp":1753881457814,"version":"3.41.2"},"reference-count":24,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,12,12]],"date-time":"2019-12-12T00:00:00Z","timestamp":1576108800000},"content-version":"vor","delay-in-days":345,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["lzujbky-2019-91"],"award-info":[{"award-number":["lzujbky-2019-91"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"<jats:p>In this paper, we investigate a novel synchronization method, which consists of <jats:italic>n<\/jats:italic>(<jats:italic>n<\/jats:italic> \u2265 2) cascade\u2010coupled chaotic systems. Furthermore, as the number of chaotic systems decreases from <jats:italic>n<\/jats:italic> to 2, the proposed synchronization will transform into bidirectional coupling synchronization. Based on Lyapunov stability theory, a general criterion is proposed for choosing the appropriate coupling parameters to ensure cascading synchronization. Moreover, 4 L\u00fc systems are taken as an example and the corresponding numerical simulations demonstrate the effectiveness of our idea.<\/jats:p>","DOI":"10.1155\/2019\/2709820","type":"journal-article","created":{"date-parts":[[2019,12,12]],"date-time":"2019-12-12T23:30:51Z","timestamp":1576193451000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Synchronization of <i>N<\/i> Cascade\u2010Coupled Chaotic Systems"],"prefix":"10.1155","volume":"2019","author":[{"given":"Pengyu","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1703-4026","authenticated-orcid":false,"given":"Juan","family":"Du","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7090-0811","authenticated-orcid":false,"given":"Shouliang","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yazhao","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3333-0244","authenticated-orcid":false,"given":"Bowen","family":"Jia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2019,12,12]]},"reference":[{"doi-asserted-by":"publisher","key":"e_1_2_8_1_2","DOI":"10.1103\/physrevlett.64.821"},{"doi-asserted-by":"publisher","key":"e_1_2_8_2_2","DOI":"10.1155\/2019\/7242791"},{"doi-asserted-by":"publisher","key":"e_1_2_8_3_2","DOI":"10.1155\/2019\/2491850"},{"doi-asserted-by":"publisher","key":"e_1_2_8_4_2","DOI":"10.1155\/2012\/974639"},{"doi-asserted-by":"publisher","key":"e_1_2_8_5_2","DOI":"10.1155\/2011\/516031"},{"doi-asserted-by":"publisher","key":"e_1_2_8_6_2","DOI":"10.1016\/s0167-2789(96)00301-6"},{"doi-asserted-by":"publisher","key":"e_1_2_8_7_2","DOI":"10.1142\/s0218127402005170"},{"doi-asserted-by":"publisher","key":"e_1_2_8_8_2","DOI":"10.1016\/s0096-3003(00)00015-1"},{"doi-asserted-by":"publisher","key":"e_1_2_8_9_2","DOI":"10.1155\/2017\/4948392"},{"doi-asserted-by":"publisher","key":"e_1_2_8_10_2","DOI":"10.1109\/access.2019.2934120"},{"doi-asserted-by":"publisher","key":"e_1_2_8_11_2","DOI":"10.1155\/2014\/675840"},{"doi-asserted-by":"publisher","key":"e_1_2_8_12_2","DOI":"10.1007\/s11071-014-1558-z"},{"doi-asserted-by":"publisher","key":"e_1_2_8_13_2","DOI":"10.1098\/rsta.2009.0230"},{"doi-asserted-by":"publisher","key":"e_1_2_8_14_2","DOI":"10.7498\/aps.58.3765"},{"doi-asserted-by":"publisher","key":"e_1_2_8_15_2","DOI":"10.1155\/2013\/512403"},{"doi-asserted-by":"publisher","key":"e_1_2_8_16_2","DOI":"10.1016\/j.chaos.2005.01.052"},{"doi-asserted-by":"publisher","key":"e_1_2_8_17_2","DOI":"10.1021\/jp903365f"},{"doi-asserted-by":"publisher","key":"e_1_2_8_18_2","DOI":"10.1016\/j.chaos.2003.12.088"},{"doi-asserted-by":"publisher","key":"e_1_2_8_19_2","DOI":"10.1007\/s12043-013-0592-6"},{"doi-asserted-by":"publisher","key":"e_1_2_8_20_2","DOI":"10.1016\/j.chaos.2006.01.119"},{"unstructured":"SivaganeshG. ArulgnanamA. andSeethalakshmiA. N. Numerical studies on the synchronization of a network of mutually coupled simple chaotic systems Proceedings of the Conference on Nonlinear Systems and Dynamics (CNSD) Septemper 2019 Kanpur India 95\u201399.","key":"e_1_2_8_21_2"},{"doi-asserted-by":"publisher","key":"e_1_2_8_22_2","DOI":"10.1016\/0167-2789(93)90201-b"},{"doi-asserted-by":"publisher","key":"e_1_2_8_23_2","DOI":"10.1088\/1674-1056\/17\/1\/018"},{"doi-asserted-by":"publisher","key":"e_1_2_8_24_2","DOI":"10.1016\/j.cnsns.2007.05.029"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/2709820.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2019\/2709820.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2019\/2709820","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T11:42:27Z","timestamp":1723030947000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2019\/2709820"}},"subtitle":[],"editor":[{"given":"Mahendra K.","family":"Gupta","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1155\/2019\/2709820"],"URL":"https:\/\/doi.org\/10.1155\/2019\/2709820","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2019,1]]},"assertion":[{"value":"2019-09-12","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-11-27","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2019-12-12","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"2709820"}}