{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,24]],"date-time":"2026-04-24T14:02:38Z","timestamp":1777039358590,"version":"3.51.4"},"reference-count":25,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,18]],"date-time":"2023-05-18T00:00:00Z","timestamp":1684368000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["61471158"],"award-info":[{"award-number":["61471158"]}]},{"name":"National Natural Science Foundation of China","award":["2013TD007"],"award-info":[{"award-number":["2013TD007"]}]},{"name":"Innovative Team of Heilongjiang Province","award":["61471158"],"award-info":[{"award-number":["61471158"]}]},{"name":"Innovative Team of Heilongjiang Province","award":["2013TD007"],"award-info":[{"award-number":["2013TD007"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, taking the generalized synchronization problem of discrete chaotic systems as a starting point, a generalized synchronization method incorporating error-feedback coefficients into the controller based on the generalized chaos synchronization theory and stability theorem for nonlinear systems is proposed. Two discrete chaotic systems with different dimensions are constructed in this paper, the dynamics of the proposed systems are analyzed, and finally, the phase diagrams, Lyapunov exponent diagrams, and bifurcation diagrams of these are shown and described. The experimental results show that the design of the adaptive generalized synchronization system is achievable in cases in which the error-feedback coefficient satisfies certain conditions. Finally, a chaotic hiding image encryption transmission system based on a generalized synchronization approach is proposed, in which an error-feedback coefficient is introduced into the controller.<\/jats:p>","DOI":"10.3390\/e25050818","type":"journal-article","created":{"date-parts":[[2023,5,19]],"date-time":"2023-05-19T00:55:29Z","timestamp":1684457729000},"page":"818","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients"],"prefix":"10.3390","volume":"25","author":[{"given":"Yanan","family":"Xing","sequence":"first","affiliation":[{"name":"Electronic Engineering College, Heilongjiang University, Harbin 150080, China"},{"name":"Information Engineering College, Heilongjiang Polytechnic, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenjie","family":"Dong","sequence":"additional","affiliation":[{"name":"Beijing Aerospace Institute of Automatic Control, Beijing 100854, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jian","family":"Zeng","sequence":"additional","affiliation":[{"name":"Electronic Engineering College, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pengteng","family":"Guo","sequence":"additional","affiliation":[{"name":"Electronic Engineering College, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Zhang","sequence":"additional","affiliation":[{"name":"Electronic Engineering College, Heilongjiang University, Harbin 150080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qun","family":"Ding","sequence":"additional","affiliation":[{"name":"Beijing Aerospace Institute of Automatic Control, Beijing 100854, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","article-title":"Deterministic Nonperiodic Flow","volume":"20","author":"Lorenz","year":"2004","journal-title":"J. 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