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However, discrete memristors deserve..."/> <meta name="twitter:image" content="https://static-content.springer.com/image/art%3A10.1007%2Fs11036-023-02154-2/MediaObjects/11036_2023_2154_Fig1_HTML.png"/> <meta name="journal_id" content="11036"/> <meta name="dc.title" content="A New Three-Dimensional Map Based Discrete Memristor and Its Hardware Implementation"/> <meta name="dc.source" content="Mobile Networks and Applications 2024"/> <meta name="dc.format" content="text/html"/> <meta name="dc.publisher" content="Springer"/> <meta name="dc.date" content="2024-11-15"/> <meta name="dc.type" content="OriginalPaper"/> <meta name="dc.language" content="En"/> <meta name="dc.copyright" content="2024 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature"/> <meta name="dc.rights" content="2024 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature"/> <meta name="dc.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="dc.description" content="The memristor is one of the more important basic components and continuous memristors have been used in many applications. However, discrete memristors deserve further discussion. Therefore, in this study, a discrete model of memristor is presented through the forward Euler algorithm and its characteristics are analyzed. The novel three-dimensional chaotic discrete map is getted by coupling the model to the two-dimensional chaotic map. The dynamical evolutions of the newly constructed chaotic map are analyzed by bifurcation diagrams, phase diagrams, complexity and Lyapunov exponents spectrum(LEs) . Simulation consequences show that the chaotic map has rich dynamical properties, revealing that the system has hyperchaotic attractors and multistability. Moreover, the DSP achievement of the 3-D hyperchaotic map demonstrates the viability of the new map in engineering applications."/> <meta name="prism.issn" content="1572-8153"/> <meta name="prism.publicationName" content="Mobile Networks and Applications"/> <meta name="prism.publicationDate" content="2024-11-15"/> <meta name="prism.section" content="OriginalPaper"/> <meta name="prism.startingPage" content="1"/> <meta name="prism.endingPage" content="8"/> <meta name="prism.copyright" content="2024 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature"/> <meta name="prism.rightsAgent" content="journalpermissions@springernature.com"/> <meta name="prism.url" content="https://link.springer.com/article/10.1007/s11036-023-02154-2"/> <meta name="prism.doi" content="doi:10.1007/s11036-023-02154-2"/> <meta name="citation_pdf_url" content="https://link.springer.com/content/pdf/10.1007/s11036-023-02154-2.pdf"/> <meta name="citation_fulltext_html_url" content="https://link.springer.com/article/10.1007/s11036-023-02154-2"/> <meta name="citation_journal_title" content="Mobile Networks and Applications"/> <meta name="citation_journal_abbrev" content="Mobile Netw Appl"/> <meta name="citation_publisher" content="Springer US"/> <meta name="citation_issn" content="1572-8153"/> <meta name="citation_title" content="A New Three-Dimensional Map Based Discrete Memristor and Its Hardware Implementation"/> <meta name="citation_online_date" content="2024/11/15"/> <meta name="citation_firstpage" content="1"/> <meta name="citation_lastpage" content="8"/> <meta name="citation_article_type" content="Article"/> <meta name="citation_language" content="en"/> <meta name="dc.identifier" content="doi:10.1007/s11036-023-02154-2"/> <meta name="DOI" content="10.1007/s11036-023-02154-2"/> <meta name="size" content="188186"/> <meta name="citation_doi" content="10.1007/s11036-023-02154-2"/> <meta name="citation_springer_api_url" content="http://api.springer.com/xmldata/jats?q=doi:10.1007/s11036-023-02154-2&api_key="/> <meta name="description" content="The memristor is one of the more important basic components and continuous memristors have been used in many applications. 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However, discrete memristors deserve further discussion. Therefore, in this study, a discrete model of memristor is presented through the forward Euler algorithm and its characteristics are analyzed. The novel three-dimensional chaotic discrete map is getted by coupling the model to the two-dimensional chaotic map. The dynamical evolutions of the newly constructed chaotic map are analyzed by bifurcation diagrams, phase diagrams, complexity and Lyapunov exponents spectrum(LEs) . Simulation consequences show that the chaotic map has rich dynamical properties, revealing that the system has hyperchaotic attractors and multistability. Moreover, the DSP achievement of the 3-D hyperchaotic map demonstrates the viability of the new map in engineering applications."/> <meta property="og:image" content="https://static-content.springer.com/image/art%3A10.1007%2Fs11036-023-02154-2/MediaObjects/11036_2023_2154_Fig1_HTML.png"/> <meta name="format-detection" content="telephone=no"> <link rel="apple-touch-icon" sizes="180x180" href=/oscar-static/img/favicons/darwin/apple-touch-icon-92e819bf8a.png> <link rel="icon" type="image/png" sizes="192x192" href=/oscar-static/img/favicons/darwin/android-chrome-192x192-6f081ca7e5.png> <link rel="icon" type="image/png" sizes="32x32" href=/oscar-static/img/favicons/darwin/favicon-32x32-1435da3e82.png> <link rel="icon" type="image/png" sizes="16x16" href=/oscar-static/img/favicons/darwin/favicon-16x16-ed57f42bd2.png> <link rel="shortcut icon" data-test="shortcut-icon" href=/oscar-static/img/favicons/darwin/favicon-c6d59aafac.ico> <meta name="theme-color" content="#e6e6e6">   <link 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Dalian, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"},{"name":"Lujie Ren","affiliation":[{"name":"Dalian Polytechnic University","address":{"name":"School of Information Science and Engineering, Dalian Polytechnic University, Dalian, China","@type":"PostalAddress"},"@type":"Organization"}],"@type":"Person"}],"isAccessibleForFree":false,"hasPart":{"isAccessibleForFree":false,"cssSelector":".main-content","@type":"WebPageElement"},"@type":"ScholarlyArticle"},"@context":"https://schema.org","@type":"WebPage"}</script> </head> <body class="" >  <noscript> <iframe src="https://www.googletagmanager.com/ns.html?id=GTM-MRVXSHQ" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript>   <noscript data-test="gtm-body"> <iframe src="https://www.googletagmanager.com/ns.html?id=GTM-MRVXSHQ" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript>  <div class="u-visually-hidden" aria-hidden="true" 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data-track-label="link" href="#auth-Lujie-Ren-Aff1" data-author-popup="auth-Lujie-Ren-Aff1" data-author-search="Ren, Lujie">Lujie Ren</a><sup class="u-js-hide"><a href="#Aff1">1</a></sup> </li></ul><button aria-expanded="false" class="c-article-author-list__button"><svg width="16" height="16" focusable="false" role="img" aria-hidden="true" class="u-icon"><use xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="#icon-eds-i-chevron-down-medium"></use></svg><span>Show authors</span></button> <div data-test="article-metrics"> <ul class="app-article-metrics-bar u-list-reset"> <li class="app-article-metrics-bar__item"> <p class="app-article-metrics-bar__count"><svg class="u-icon app-article-metrics-bar__icon" width="24" height="24" aria-hidden="true" focusable="false"> <use xlink:href="#icon-eds-i-accesses-medium"></use> </svg>27 <span class="app-article-metrics-bar__label">Accesses</span></p> </li> <li class="app-article-metrics-bar__item app-article-metrics-bar__item--metrics"> <p class="app-article-metrics-bar__details"><a href="/article/10.1007/s11036-023-02154-2/metrics" data-track="click" data-track-action="view metrics" data-track-label="link" rel="nofollow">Explore all metrics <svg class="u-icon app-article-metrics-bar__arrow-icon" width="24" height="24" aria-hidden="true" focusable="false"> <use xlink:href="#icon-eds-i-arrow-right-medium"></use> </svg></a></p> </li> </ul> </div> <div class="u-mt-32"> </div> </header> </div> <div data-article-body="true" data-track-component="article body" class="c-article-body"> <section aria-labelledby="Abs1" data-title="Abstract" lang="en"><div class="c-article-section" id="Abs1-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="Abs1">Abstract</h2><div class="c-article-section__content" id="Abs1-content"><p>The memristor is one of the more important basic components and continuous memristors have been used in many applications. However, discrete memristors deserve further discussion. Therefore, in this study, a discrete model of memristor is presented through the forward Euler algorithm and its characteristics are analyzed. The novel three-dimensional chaotic discrete map is getted by coupling the model to the two-dimensional chaotic map. The dynamical evolutions of the newly constructed chaotic map are analyzed by bifurcation diagrams, phase diagrams, complexity and Lyapunov exponents spectrum(LEs) . Simulation consequences show that the chaotic map has rich dynamical properties, revealing that the system has hyperchaotic attractors and multistability. 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LJKZ0545).</p></div></div></section><section aria-labelledby="author-information" data-title="Author information"><div class="c-article-section" id="author-information-section"><h2 class="c-article-section__title js-section-title js-c-reading-companion-sections-item" id="author-information">Author information</h2><div class="c-article-section__content" id="author-information-content"><h3 class="c-article__sub-heading" id="affiliations">Authors and Affiliations</h3><ol class="c-article-author-affiliation__list"><li id="Aff1"><p class="c-article-author-affiliation__address">School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116034, China</p><p class="c-article-author-affiliation__authors-list">Xintong Han, Peng Li & Lujie Ren</p></li><li id="Aff2"><p class="c-article-author-affiliation__address">School of Management, Dalian Polytechnic University, Dalian, 116034, China</p><p class="c-article-author-affiliation__authors-list">Bo Sun</p></li></ol><div class="u-js-hide u-hide-print" data-test="author-info"><span class="c-article__sub-heading">Authors</span><ol class="c-article-authors-search u-list-reset"><li id="auth-Xintong-Han-Aff1"><span class="c-article-authors-search__title u-h3 js-search-name">Xintong Han</span><div class="c-article-authors-search__list"><div class="c-article-authors-search__item c-article-authors-search__list-item--left"><a href="/search?dc.creator=Xintong%20Han" class="c-article-button" data-track="click" data-track-action="author link - 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