{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:20:06Z","timestamp":1760145606984,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T00:00:00Z","timestamp":1722816000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural Science Research Program of Fuyang Normal University","award":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"],"award-info":[{"award-number":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"]}]},{"name":"Anhui Province Photovoltaic Industry Common Technology Research Center Open Subjects","award":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"],"award-info":[{"award-number":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"]}]},{"name":"Anhui Provincial Collaborative Innovation program for colleges and Universities","award":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"],"award-info":[{"award-number":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"]}]},{"name":"Fuyang Normal University Undergraduate Teaching Project","award":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"],"award-info":[{"award-number":["2021FSKJ1400","AHPV202404","GXXT-2023-030","GXXT-2023-032","2023YLKC0010"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The memristor, a novel device, has been widely utilized due to its small size, low power consumption, and memory characteristics. In this paper, we propose a new three-dimensional discrete memristor map based on coupling a one-dimensional chaotic map amplifier with a memristor. Firstly, we analyzed the memristor model to understand its characteristics. Then, a Simulink model for this three-dimensional discrete memristor map was developed. Lastly, the complex dynamical characteristics of the system were analyzed via equilibrium points, bifurcation diagrams, Lyapunov exponent spectra, complexity, and multistability. This study revealed the phenomena of coexisting attractors and hyperchaotic attractors. Simulink modeling confirmed that the discrete memristors effectively enhanced the chaos complexity in the three-dimensional discrete memristor map. This approach addresses the shortcomings of randomness, the lack of ergodicity, and the small key space in a one-dimensional chaotic map, thereby enriching the theoretical analysis and circuit implementation of chaos.<\/jats:p>","DOI":"10.3390\/sym16080990","type":"journal-article","created":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T18:21:40Z","timestamp":1722882100000},"page":"990","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Simulink Modeling and Analysis of a Three-Dimensional Discrete Memristor Map"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-7304-3575","authenticated-orcid":false,"given":"Shuangshuang","family":"Peng","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China"},{"name":"School of Physics and Electronic Engineering, Fuyang Normal University, Fuyang 236037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Honghui","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Renwang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qian","family":"Xiang","sequence":"additional","affiliation":[{"name":"School of Physics and Electronic Engineering, Fuyang Normal University, Fuyang 236037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shaoxuan","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Physics and Electronic Engineering, Fuyang Normal University, Fuyang 236037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0006-6776-0532","authenticated-orcid":false,"given":"Yilin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Physics and Electronic Engineering, Fuyang Normal University, Fuyang 236037, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,8,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"080504","DOI":"10.1088\/1674-1056\/ac5a43","article-title":"Synchronously scramble diffuse image encryption method based on a new cosine chaotic map","volume":"31","author":"Yan","year":"2022","journal-title":"Chin. 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Chaos, 2450124.","DOI":"10.1142\/S0218127424501244"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/8\/990\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:30:16Z","timestamp":1760110216000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/16\/8\/990"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,5]]},"references-count":25,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2024,8]]}},"alternative-id":["sym16080990"],"URL":"https:\/\/doi.org\/10.3390\/sym16080990","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2024,8,5]]}}}