{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:22:42Z","timestamp":1760242962487,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2015,2,4]],"date-time":"2015-02-04T00:00:00Z","timestamp":1423008000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Parameter estimation for fractional-order chaotic systems has been an interesting and important issue in theory and various fields of application. In this paper, fractional orders, as well as systematic parameters of fractional-order chaotic systems are considered by treating fractional orders as additional parameters. The parameter estimation is transformed into a multidimensional optimization problem, and an effective modified artificial bee colony algorithm is proposed to solve this problem. Numerical simulations are conducted on two typical fractional-order chaotic systems to show the effectiveness of the proposed scheme.<\/jats:p>","DOI":"10.3390\/e17020692","type":"journal-article","created":{"date-parts":[[2015,2,4]],"date-time":"2015-02-04T08:25:00Z","timestamp":1423038300000},"page":"692-709","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Parameters Estimation of Uncertain Fractional-Order Chaotic Systems via a Modified Artificial Bee Colony Algorithm"],"prefix":"10.3390","volume":"17","author":[{"given":"Wei","family":"Hu","sequence":"first","affiliation":[{"name":"School of Science, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongguang","family":"Yu","sequence":"additional","affiliation":[{"name":"School of Science, Beijing Jiaotong University, Beijing 100044, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sha","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Information, Beijing Wuzi University, Beijing 101149, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,2,4]]},"reference":[{"key":"ref_1","unstructured":"Kilbas, A.A.A., Srivastava, H.M., and Trujillo, J.J. 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