{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T17:19:48Z","timestamp":1780679988872,"version":"3.54.1"},"reference-count":44,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2019,3,15]],"date-time":"2019-03-15T00:00:00Z","timestamp":1552608000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Science Research Youth Project of the Ministry of Education of  Guizhou Province of China;Guizhou Province of China Science and Technology Cooperation Program Three Party Joint Fund","award":["KY [2015] 465, and KY [2015] 470;LH [2015] 7698, and LH [2015] 7697"],"award-info":[{"award-number":["KY [2015] 465, and KY [2015] 470;LH [2015] 7698, and LH [2015] 7697"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the system parameter or initial value, the system can generate several nonlinear complex attractors: periodic, quasiperiodic, multiple topology chaotic, and hyperchaotic. The dynamics and complexity of the proposed system were investigated through Lyapunov exponents (LEs), a bifurcation diagram, a Poincar\u00e9 map, and spectral entropy (SE). The simulation and calculation results show that the proposed multistable system has very rich and complex hidden dynamic characteristics. Additionally, the circuit of the chaotic system is designed to verify the physical realizability of the system. This study provides new insights into uncovering the dynamic characteristics of the coexisting hidden attractors system and provides a new choice for nonlinear control or chaotic secure communication technology.<\/jats:p>","DOI":"10.3390\/e21030287","type":"journal-article","created":{"date-parts":[[2019,3,18]],"date-time":"2019-03-18T12:18:53Z","timestamp":1552911533000},"page":"287","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3399-2117","authenticated-orcid":false,"given":"Licai","family":"Liu","sequence":"first","affiliation":[{"name":"School of Electronic and Information Engineering, Anshun University, Anshun 561000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chuanhong","family":"Du","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Anshun University, Anshun 561000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiefu","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Guizhou Education University, Guiyang 550018, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jian","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computer Science, Guizhou Education University, Guiyang 550018, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuaishuai","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Information Engineering, Guizhou University of Engineering Science, Bijie 551700, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2019,3,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.asoc.2014.09.039","article-title":"A new image encryption algorithm based on non-adjacent coupled map lattices","volume":"26","author":"Zhang","year":"2015","journal-title":"Appl. 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