{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:07:34Z","timestamp":1753880854259,"version":"3.41.2"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12172233"],"award-info":[{"award-number":["12172233"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,6,15]]},"abstract":"<jats:p> In this paper, we study the dynamic behaviors and chaos synchronization of the Chen system described by Caputo\u2013Hadamard fractional derivative. First, the existence and uniqueness of a solution to the Chen system with Caputo\u2013Hadamard derivative are proved by qualitative analysis. Further, the stability of equilibria of the considered system is analyzed with the aid of Routh\u2013Hurwitz criteria. Meanwhile, the bifurcation condition of the Caputo\u2013Hadamard Chen system is compared with the integer-order Chen system, where the differences between the two systems are demonstrated numerically. In the study of chaos synchronization of the drive\u2013response Chen systems with Caputo\u2013Hadamard derivative, two control schemes are developed: three nonlinear controllers and single linear controller. The feasibility of two control schemes is verified, and the synchronization performances of these two schemes are compared by numerical simulations. Based on this, the influence of the fractional-order on chaos synchronization performance is illustrated as well. <\/jats:p>","DOI":"10.1142\/s0218127424500883","type":"journal-article","created":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T04:14:06Z","timestamp":1716610446000},"source":"Crossref","is-referenced-by-count":0,"title":["Analysis and Synchronization of the Chen System with Fractional Derivative"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1203-6855","authenticated-orcid":false,"given":"Chuntao","family":"Yin","sequence":"first","affiliation":[{"name":"Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8829-492X","authenticated-orcid":false,"given":"Yufei","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4309-4038","authenticated-orcid":false,"given":"Xianghong","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8768-1958","authenticated-orcid":false,"given":"Yongjun","family":"Shen","sequence":"additional","affiliation":[{"name":"Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P. R. 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