{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:42Z","timestamp":1740134562787,"version":"3.37.3"},"reference-count":50,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"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":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}],"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":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}],"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":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}],"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":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}],"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":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Special Foundation for Basic Scientific Research of Central Colleges","award":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}]},{"name":"Foundation for Basic Scientific Research of Chang\u2019an University","award":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}]},{"name":"Foundation for Basic Scientific Research of Chang\u2019an University","award":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"],"award-info":[{"award-number":["11202035","11272258","11201038","61202437","11001031","CHD2011JC006","CHD2013G2121017"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>The role of multiplicative noise in the synchronization of unidirectionally coupled ring with three nodes is studied. Based on the theory of stochastic differential equations, we demonstrate that noise plays a positive role in complete synchronization. In numerical simulations, the Lorenz system, R\u00f6ssler like system, and Hindmarsh-Rose neuron model are employed to demonstrate the correctness of our theoretical result.<\/jats:p>","DOI":"10.1155\/2014\/741961","type":"journal-article","created":{"date-parts":[[2014,7,16]],"date-time":"2014-07-16T18:09:01Z","timestamp":1405534141000},"page":"1-7","source":"Crossref","is-referenced-by-count":0,"title":["The Positive Role of Multiplicative Noise in Complete Synchronization of Unidirectionally Coupled Ring with Three Nodes"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0664-5403","authenticated-orcid":true,"given":"Yuzhu","family":"Xiao","sequence":"first","affiliation":[{"name":"Department of Mathematics and Information Science, Chang\u2019an University, Xi\u2019an 710064, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sufang","family":"Tang","sequence":"additional","affiliation":[{"name":"School of Statistics, Xi\u2019an University of Finance and Economics, Xi\u2019an 710100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhongkui","family":"Sun","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Northwestern Polytechnical University, Xi\u2019an 710072, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755743"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/S0370-1573(02)00137-0"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1143\/PTP.69.32"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.2374"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.1804"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.4193"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2006.12.019"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.1816"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/12\/004"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2004.02.005"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-0824-9"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.219"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.4124"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69689-3"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1142\/S0218126693000071"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00777-5"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.037203"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/179428"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/501421"},{"key":"21","first-page":"576","volume":"27","year":"1984","journal-title":"Radiophysics and Quantum Electronics"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.58.R6907"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.1451"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.73.2931"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.52.3238"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.6551"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.4068"},{"key":"28","doi-asserted-by":"publisher","DOI":"10.1209\/epl\/i1998-00368-1"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1063\/1.1386397"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.06.077"},{"key":"31","doi-asserted-by":"publisher","DOI":"10.1063\/1.1493096"},{"key":"32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.015205"},{"key":"33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.81.3291"},{"key":"34","doi-asserted-by":"publisher","DOI":"10.1063\/1.3623440"},{"key":"35","doi-asserted-by":"publisher","DOI":"10.1063\/1.1938627"},{"key":"36","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/41\/23\/235101"},{"key":"37","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2008.02.069"},{"key":"38","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2007.06.043"},{"key":"39","doi-asserted-by":"publisher","DOI":"10.1063\/1.2183734"},{"key":"40","doi-asserted-by":"publisher","DOI":"10.1063\/1.3080194"},{"key":"41","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2004.05.033"},{"year":"1989","key":"43"},{"key":"44","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms2733"},{"key":"45","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2005.11.009"},{"year":"1972","key":"46"},{"year":"1994","key":"47"},{"key":"48","doi-asserted-by":"publisher","DOI":"10.1098\/rspb.1984.0024"},{"key":"49","doi-asserted-by":"publisher","DOI":"10.1063\/1.1505811"},{"key":"50","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12616-5"},{"key":"51","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.74.046213"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/741961.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/741961.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/741961.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,18]],"date-time":"2016-08-18T21:00:40Z","timestamp":1471554040000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/741961\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":50,"alternative-id":["741961","741961"],"URL":"https:\/\/doi.org\/10.1155\/2014\/741961","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}