{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:10Z","timestamp":1740134530495,"version":"3.37.3"},"reference-count":24,"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":["11171192","20123704110001"],"award-info":[{"award-number":["11171192","20123704110001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Higher Education of China","award":["11171192","20123704110001"],"award-info":[{"award-number":["11171192","20123704110001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems. The analytical conditions for the sinusoidal synchronization of the Van der Pol equation with a periodically forced pendulum are developed. With the conditions, the sinusoidal synchronizations of the two systems are discussed. Switching points for appearance and vanishing of the partial synchronization are developed.<\/jats:p>","DOI":"10.1155\/2014\/341635","type":"journal-article","created":{"date-parts":[[2014,4,29]],"date-time":"2014-04-29T17:05:09Z","timestamp":1398791109000},"page":"1-9","source":"Crossref","is-referenced-by-count":3,"title":["Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5294-0171","authenticated-orcid":true,"given":"Xiaohui","family":"Sun","sequence":"first","affiliation":[{"name":"School of Management Science and Engineering, Shandong Normal University, Ji'nan 250014, China"},{"name":"School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1323-5613","authenticated-orcid":true,"given":"Xilin","family":"Fu","sequence":"additional","affiliation":[{"name":"School of Management Science and Engineering, Shandong Normal University, Ji'nan 250014, China"},{"name":"School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1673","key":"1"},{"year":"2010","key":"2"},{"volume":"6","year":"2008","series-title":"Monograph Series on Nonlinear Science and Complexity","key":"3"},{"volume":"12","year":"2001","series-title":"Cambridge Nonlinear Science Series","key":"4"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/31.75404"},{"issue":"6","key":"7","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0375-9601(92)90745-8","volume":"170","year":"1992","journal-title":"Physics Letters A"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.50.1642"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.R945"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.51.980"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.74.5028"},{"issue":"5","key":"12","doi-asserted-by":"crossref","first-page":"R4508","DOI":"10.1103\/PhysRevE.54.R4508","volume":"54","year":"1996","journal-title":"Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1063\/1.166284"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1063\/1.1624651"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2005.01.004"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2005.01.011"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.063"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1063\/1.2718491"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2004.04.004"},{"volume":"3","year":"2006","series-title":"Monograph Series on Nonlinear Science and Complexity","key":"20"},{"year":"2008","key":"21"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.nahs.2008.07.003"},{"year":"2009","key":"24"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2010.11.013"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/341635.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/341635.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/341635.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,22]],"date-time":"2017-06-22T08:22:46Z","timestamp":1498119766000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/341635\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":24,"alternative-id":["341635","341635"],"URL":"https:\/\/doi.org\/10.1155\/2014\/341635","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}