{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,15]],"date-time":"2025-11-15T17:05:42Z","timestamp":1763226342180,"version":"build-2065373602"},"reference-count":45,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2016,2,22]],"date-time":"2016-02-22T00:00:00Z","timestamp":1456099200000},"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>This paper introduces a new memristor-based hyperchaotic complex L\u00fc system (MHCLS) and investigates its adaptive complex generalized synchronization (ACGS). Firstly, the complex system is constructed based on a memristor-based hyperchaotic real L\u00fc system, and its properties are analyzed theoretically. Secondly, its dynamical behaviors, including hyperchaos, chaos, transient phenomena, as well as periodic behaviors, are explored numerically by means of bifurcation diagrams, Lyapunov exponents, phase portraits, and time history diagrams. Thirdly, an adaptive controller and a parameter estimator are proposed to realize complex generalized synchronization and parameter identification of two identical MHCLSs with unknown parameters based on Lyapunov stability theory. Finally, the numerical simulation results of ACGS and its applications to secure communication are presented to verify the feasibility and effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/e18020058","type":"journal-article","created":{"date-parts":[[2016,2,22]],"date-time":"2016-02-22T10:24:17Z","timestamp":1456136657000},"page":"58","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["A Memristor-Based Hyperchaotic Complex L\u00fc System and Its Adaptive Complex Generalized Synchronization"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7453-0886","authenticated-orcid":false,"given":"Shibing","family":"Wang","sequence":"first","affiliation":[{"name":"School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China"},{"name":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xingyuan","family":"Wang","sequence":"additional","affiliation":[{"name":"Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yufei","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering and Automation, Anhui University, Hefei 230601, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Han","sequence":"additional","affiliation":[{"name":"School of Computer and Information Engineering, Fuyang Normal University, Fuyang 236041, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,2,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1038\/298322a0","article-title":"Chaos, randomness and dimension","volume":"298","author":"Geisel","year":"1982","journal-title":"Nature"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"8331","DOI":"10.1088\/0305-4470\/33\/47\/301","article-title":"Chaos and information entropy production","volume":"33","author":"Chaudhuri","year":"2000","journal-title":"J. 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