{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,17]],"date-time":"2024-08-17T15:12:22Z","timestamp":1723907542472},"reference-count":22,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2019,2,28]],"date-time":"2019-02-28T00:00:00Z","timestamp":1551312000000},"content-version":"vor","delay-in-days":58,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2019,1]]},"abstract":"Fractional order systems have a wider range of applications. Hidden attractors are a peculiar phenomenon in nonlinear systems. In this paper, we construct a fractional\u2010order chaotic system with hidden attractors based on the Sprott C system. According to the Adomain decomposition method, we numerically simulate from several algorithms and study the dynamic characteristics of the system through bifurcation diagram, phase diagram, spectral entropy, and C0<\/jats:sub> complexity. The results of spectral entropy and C0<\/jats:sub> complexity simulations show that the system is highly complex. In order to apply such research results to engineering practice, for such fractional\u2010order chaotic systems with hidden attractors, we design a controller to synchronize according to the finite\u2010time stability theory. The simulation results show that the synchronization time is short and the robustness is stable. This paper lays the foundation for the study of fractional order systems with hidden attractors.<\/jats:p>","DOI":"10.1155\/2019\/1612752","type":"journal-article","created":{"date-parts":[[2019,2,28]],"date-time":"2019-02-28T23:30:24Z","timestamp":1551396624000},"update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Finite Time Synchronization for Fractional Order Sprott C Systems with Hidden Attractors"],"prefix":"10.1155","volume":"2019","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-7560-3699","authenticated-orcid":false,"given":"Cui","family":"Yan","sequence":"first","affiliation":[]},{"given":"He","family":"Hongjun","sequence":"additional","affiliation":[]},{"given":"Lu","family":"Chenhui","sequence":"additional","affiliation":[]},{"given":"Sun","family":"Guan","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2019,2,28]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0448:TMOV>2.0.CO;2"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.06.091"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.07.027"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.02.060"},{"key":"e_1_2_10_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(02)00573-8"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2004.12.040"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2011.04.037"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418501444"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3808-3"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aeue.2018.03.037"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-4247-5"},{"key":"e_1_2_10_12_2","first-page":"1276","article-title":"Multi-drive-one response synchronization of fractional-order chaotic systems with uncertainties","volume":"40","author":"Youan Z.","year":"2016","journal-title":"Acta Electronica Sinica"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.68.067203"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1244-1"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1088\/1674-1056\/22\/10\/100504"},{"key":"e_1_2_10_16_2","article-title":"An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications","author":"Podlubny I.","year":"1999","journal-title":"Fractional Differential Equations"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1103\/physreve.50.r647"},{"key":"e_1_2_10_18_2","first-page":"42","article-title":"Chaos synchronization between the Sprott-B and Sprott-C with linear coupling","volume":"55","author":"Yangzheng L.","year":"2006","journal-title":"Acta Physica Sinica"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/i2017-11306-3"},{"key":"e_1_2_10_20_2","article-title":"A case of the existence of a denumerable set of periodic motions","author":"Sil\u2032nikov L. 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