Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory

Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory | 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 Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory Zhixia Ding, Le Qiu, Sai Li, Le Yang, Liheng Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4393389/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 In this paper, based on the memory characteristics of fractional calculus, a new fractional-order memristor is proposed, which not only retain the basic characteristics of memristor, but also expand the influence of control parameters on system performance. Which has a stronger memorizability compared to other fractional-order memristor by analyzing the pinched hysteresis loop area. Based on the above fractional-order memristor, a fractional-order memristive hyperchaotic circuit is designed, such system is analyzed by using the Lyapunov Exponents and the bifurcation diagrams. It is found that the phase trajectory of the system expands and narrows under different parameters. In addition, there are two coexisting hyperchaotic attractors at different initial values. The SE complexity and C0 complexity of the system parameters are also given by the complexity algorithm. Finally, the fractional-order memristor and fractional-order memristive hyperchaotic circuits are realized through analog circuits. Fractional-order memristor Pinched hysteresis loop phase trajectory expansion Hyperchaos 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-4393389","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":304053635,"identity":"524f791c-f879-44c2-ad68-5eccea495105","order_by":0,"name":"Zhixia Ding","email":"","orcid":"","institution":"Wuhan Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Zhixia","middleName":"","lastName":"Ding","suffix":""},{"id":304053636,"identity":"3c1f9a1e-44c8-479e-b939-0fac79a0e4bd","order_by":1,"name":"Le Qiu","email":"","orcid":"","institution":"Wuhan Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Le","middleName":"","lastName":"Qiu","suffix":""},{"id":304053637,"identity":"92b7acbd-b600-43eb-a4fa-da8fa68ed76e","order_by":2,"name":"Sai Li","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAApElEQVRIiWNgGAWjYDACdsbGBwwGIFYCsVqYGZsNGAwMSNLCwCbBwECKFvlm5rZqnoI/DPzsOQYMP3cQocXgMGPbbR6gwyR73hgw9p4hRgszUEsOUIvBjRwQmyiHMbYVg7TYE62FAegwZrAtEsRqAfqlWfqPgTGPxJlnBQd7iXJYe/vDjzP+yMnxtydvfPCTKIdBAQ+IOECChlEwCkbBKBgF+AAALugs6fVxgGIAAAAASUVORK5CYII=","orcid":"","institution":"Wuhan Institute of Technology","correspondingAuthor":true,"prefix":"","firstName":"Sai","middleName":"","lastName":"Li","suffix":""},{"id":304053638,"identity":"2a5a5c6e-ac33-4073-bcb8-921b6697382d","order_by":3,"name":"Le Yang","email":"","orcid":"","institution":"Wuhan Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Le","middleName":"","lastName":"Yang","suffix":""},{"id":304053639,"identity":"feed2978-b5f6-4921-b0e4-524ed0a294ad","order_by":4,"name":"Liheng Wang","email":"","orcid":"","institution":"Wuhan Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Liheng","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2024-05-09 07:32:04","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4393389/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4393389/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":60955121,"identity":"4da75db6-3ac1-4610-80ad-68437b047f07","added_by":"auto","created_at":"2024-07-24 03:01:43","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":2823715,"visible":true,"origin":"","legend":"","description":"","filename":"text.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4393389/v1_covered_82b28824-e1e5-43dd-b6ce-1b330834fb4d.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analysis and circuit implementation of fractional-order memristive hyperchaotic system with enhanced memory","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":"Fractional-order memristor, Pinched hysteresis loop, phase trajectory expansion, Hyperchaos","lastPublishedDoi":"10.21203/rs.3.rs-4393389/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4393389/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, based on the memory characteristics of fractional calculus, a new fractional-order memristor is proposed, which not only retain the basic characteristics of memristor, but also expand the influence of control parameters on system performance. Which has a stronger memorizability compared to other fractional-order memristor by analyzing the pinched hysteresis loop area. Based on the above fractional-order memristor, a fractional-order memristive hyperchaotic circuit is designed, such system is analyzed by using the Lyapunov Exponents and the bifurcation diagrams. It is found that the phase trajectory of the system expands and narrows under different parameters. In addition, there are two coexisting hyperchaotic attractors at different initial values. The SE complexity and C0 complexity of the system parameters are also given by the complexity algorithm. 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