{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:37:43Z","timestamp":1740141463434,"version":"3.37.3"},"reference-count":59,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2021,2,13]],"date-time":"2021-02-13T00:00:00Z","timestamp":1613174400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11202239"],"award-info":[{"award-number":["11202239"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology Foundation","award":["2101133"],"award-info":[{"award-number":["2101133"]}]},{"name":"Natural Science Foundation of Naval University of Engineering","award":["425317Q063"],"award-info":[{"award-number":["425317Q063"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper deals with the global finite-time synchronization of a class of third-order chaotic systems with some intersecting nonlinearities, which cover many famous chaotic systems. First, a simple, continuous and dimension-reducible control by the name of the variable-substitution and feedback control is designed to construct a master\u2013slave finite-time synchronization scheme. Then, a global finite-time synchronization criterion for the synchronization scheme is proven and the synchronization time is analytically estimated. Subsequently, the criterion and optimization technique are applied to the well-known brushless direct current motor (BLDCM) system and the classic Lorenz system, respectively, further obtaining some new optimized synchronization criteria in the form of algebra. Two numerical examples for the BLDCM system and a numerical example for the Lorenz system are simulated and analyzed to verify the effectiveness of the theoretical results obtained in this paper.<\/jats:p>","DOI":"10.1093\/imamci\/dnaa041","type":"journal-article","created":{"date-parts":[[2021,2,13]],"date-time":"2021-02-13T01:59:18Z","timestamp":1613181558000},"page":"594-621","source":"Crossref","is-referenced-by-count":3,"title":["The global finite-time synchronization of a class of chaotic systems via the variable-substitution and feedback control"],"prefix":"10.1093","volume":"38","author":[{"given":"Yun","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Information Security, Naval University of Engineering, Wuhan, China"}]},{"given":"Yanyi","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Information Security, Naval University of Engineering, Wuhan, China"}]},{"given":"Qian","family":"Lin","sequence":"additional","affiliation":[{"name":"College of Electronic Engineering, Naval University of Engineering, Wuhan, China"}]}],"member":"286","published-online":{"date-parts":[[2021,2,13]]},"reference":[{"key":"2021060309594565600_ref1","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/s11071-011-0261-6","article-title":"Finite-time chaos control and synchronization of fractional-order chaotic (hyperchaotic) systems via fractional nonsingular terminal sliding mode technique","volume":"9","author":"Aghababa","year":"2012","journal-title":"Nonlinear Dynam."},{"key":"2021060309594565600_ref2","doi-asserted-by":"crossref","first-page":"1903","DOI":"10.1007\/s11071-012-0395-1","article-title":"A general nonlinear adaptive control scheme for finite-time synchronization of chaotic systems with uncertain parameters and nonlinear inputs","volume":"69","author":"Aghababa","year":"2012","journal-title":"Nonlinear Dynam."},{"key":"2021060309594565600_ref3","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1007\/s12206-013-0106-y","article-title":"Chaos synchronization of gyroscopes using an adaptive robust finite-time controller","volume":"27","author":"Aghababa","year":"2013","journal-title":"J. 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