A Novel 4D Chaotic System Based on Composite Memristors: Dynamics, Circuit Implementation, and Image Encryption Applications

A Novel 4D Chaotic System Based on Composite Memristors: Dynamics, Circuit Implementation, and Image Encryption Applications | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Novel 4D Chaotic System Based on Composite Memristors: Dynamics, Circuit Implementation, and Image Encryption Applications Xianyang Xie, Yuming Feng, Xiangguang Dai, Dongfang Yan This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7499720/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract This paper introduces a novel four-dimensional (4D) chaotic system based on a new composite memristor. The system is constructed by coupling a flux-controlled memristor, which uniquely integrates both piecewise and cubic nonlinearities, into a three-dimensional Jerk system. Dynamic analysis reveals that the proposed system exhibits rich dynamical behaviors, including a period-doubling route to chaos and, most significantly, the phenomenon of multistability with coexisting symmetric attractors. The system's chaotic properties and physical realizability are confirmed through Lyapunov exponent analysis and LTspice circuit simulations, respectively. To demonstrate its practical utility, the chaotic sequences generated by the system are applied to an image encryption task. The results confirm that the system can produce sequences with excellent cryptographic properties, showing great potential for applications in secure communications. Composite Memristor Chaotic System Multistability Circuit Implementation Image Encryption Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7499720","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":511568779,"identity":"dfbe5c0f-2317-44b9-b346-5b934d9715b0","order_by":0,"name":"Xianyang Xie","email":"","orcid":"","institution":"Chongqing Three Gorges University","correspondingAuthor":false,"prefix":"","firstName":"Xianyang","middleName":"","lastName":"Xie","suffix":""},{"id":511568780,"identity":"05a55133-8484-4081-9058-d7772e62d58f","order_by":1,"name":"Yuming Feng","email":"","orcid":"","institution":"Chongqing Three Gorges University","correspondingAuthor":false,"prefix":"","firstName":"Yuming","middleName":"","lastName":"Feng","suffix":""},{"id":511568781,"identity":"19628e40-bc49-4f0f-8c94-3ec97fc80465","order_by":2,"name":"Xiangguang Dai","email":"","orcid":"","institution":"Chongqing Three Gorges University","correspondingAuthor":false,"prefix":"","firstName":"Xiangguang","middleName":"","lastName":"Dai","suffix":""},{"id":511568782,"identity":"a7d02ebe-9ee1-4b7c-bb94-36af5d73157a","order_by":3,"name":"Dongfang Yan","email":"data:image/png;base64,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","orcid":"","institution":"Chongqing Three Gorges University","correspondingAuthor":true,"prefix":"","firstName":"Dongfang","middleName":"","lastName":"Yan","suffix":""}],"badges":[],"createdAt":"2025-08-31 09:38:25","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7499720/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7499720/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":91830316,"identity":"79c90887-7f05-474d-83e8-e7c426990c29","added_by":"auto","created_at":"2025-09-22 09:01:36","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":20138881,"visible":true,"origin":"","legend":"","description":"","filename":"LaTeXDL468198240419.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7499720/v1_covered_bb9f8eec-799e-4747-b103-9e62967bfd6f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A Novel 4D Chaotic System Based on Composite Memristors: Dynamics, Circuit Implementation, and Image Encryption Applications","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Composite Memristor, Chaotic System, Multistability, Circuit Implementation, Image, Encryption","lastPublishedDoi":"10.21203/rs.3.rs-7499720/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7499720/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This paper introduces a novel four-dimensional (4D) chaotic system based on a new composite memristor. 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