Adaptive Fixed-Time Robust Control Function Projective Synchronization Of Hyperchaotic Financial Systems With External Perturbations

Adaptive Fixed-Time Robust Control Function Projective Synchronization Of Hyperchaotic Financial Systems With External Perturbations | 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 Article Adaptive Fixed-Time Robust Control Function Projective Synchronization Of Hyperchaotic Financial Systems With External Perturbations Ayub Khan, Vikash ., Khursheed Alam This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7886665/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 the modern era, in where financial systems are essential to be investigated, the use of controllers through management strategies is crucial. Examining the synchronization of these systems we can be provided insightful information on the global financial development and alignment of different nations or regions. In order to synchronize considered drive-response hyperchaotic financial systems with unknown parameters and external disturbances, an adaptive fixed-time control technique has been followed. By combining the parametric adaption methodology with the fixed-time control method, the suggested controller is constricted. In particular, the purpose of adaptive adjustment methods is to estimate the unknown parameters and outside disturbances. Stability analysis shows that the function projective synchronization errors under the proposed controller can settle to a small neighborhood of roughly zero in a predetermined amount of time. Important characteristics of the developed controller are its extreme insensitivity to unknown parameters and exceptional resilience to external shocks. Lastly, numerical simulation is used to verify the benefits and efficacy of the suggested control approach. Physical sciences/Engineering Physical sciences/Mathematics and computing Hyperchaotic financial systems Function projective synchronization Fixed-time control External perturbations 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. 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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-7886665","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":531535114,"identity":"4bf9424f-f2d7-451c-8ee5-932561ad63ac","order_by":0,"name":"Ayub Khan","email":"","orcid":"","institution":"Imam Mohammad Ibn Saud Islamic University","correspondingAuthor":false,"prefix":"","firstName":"Ayub","middleName":"","lastName":"Khan","suffix":""},{"id":531535115,"identity":"08ba3cd7-3acc-4291-96d6-7eb8cd8b807a","order_by":1,"name":"Vikash 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Perturbations\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"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":"Hyperchaotic financial systems, Function projective synchronization, Fixed-time control, External perturbations","lastPublishedDoi":"10.21203/rs.3.rs-7886665/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7886665/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn the modern era, in where financial systems are essential to be investigated, the use of controllers through management strategies is crucial. Examining the synchronization of these systems we can be provided insightful information on the global financial development and alignment of different nations or regions. In order to synchronize considered drive-response hyperchaotic financial systems with unknown parameters and external disturbances, an adaptive fixed-time control technique has been followed. By combining the parametric adaption methodology with the fixed-time control method, the suggested controller is constricted. In particular, the purpose of adaptive adjustment methods is to estimate the unknown parameters and outside disturbances. Stability analysis shows that the function projective synchronization errors under the proposed controller can settle to a small neighborhood of roughly zero in a predetermined amount of time. Important characteristics of the developed controller are its extreme insensitivity to unknown parameters and exceptional resilience to external shocks. Lastly, numerical simulation is used to verify the benefits and efficacy of the suggested control approach.\u003c/p\u003e","manuscriptTitle":"Adaptive Fixed-Time Robust Control Function Projective Synchronization Of Hyperchaotic Financial Systems With External Perturbations","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-10-20 11:03:29","doi":"10.21203/rs.3.rs-7886665/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"06a3db5e-3019-417f-9e00-f4d5a6a1117c","owner":[],"postedDate":"October 20th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":56577184,"name":"Physical sciences/Engineering"},{"id":56577185,"name":"Physical sciences/Mathematics and computing"}],"tags":[],"updatedAt":"2026-02-18T20:39:39+00:00","versionOfRecord":[],"versionCreatedAt":"2025-10-20 11:03:29","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7886665","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7886665","identity":"rs-7886665","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}