Chaos synchronization of the modified Lorenz-like system using nonlinear control with novel fractional operators

Chaos synchronization of the modified Lorenz-like system using nonlinear control with novel fractional operators | 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 Chaos synchronization of the modified Lorenz-like system using nonlinear control with novel fractional operators Atul This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6740645/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 The modified Lorenz-like system presents the piecewise idea for the differential operators. Numerical solutions are formulated in a piecewise sense using different differential operators. The Outputs demonstrate the real-life nature of the modified Lorenz-like system in a piecewise sense. The remarkable modified Lorenz-like system possesses strange attractors. It is examined from the perspective of chaos and synchronization. Effectual nonlinear controllers are considered to stabilize chaos. Further, synchronization, not only between two identical Lorenz-like systems, involving the attractors, is obtained by utilizing a nonlinear control scheme. Computer simulations are demonstrated for the motive of examination. Applied Mathematics Modified Lorenz-Like System Piecewise Derivatives Chaos Synchronization Full Text Additional Declarations The authors declare no competing interests. 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-6740645","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":461395996,"identity":"189036f3-34d1-4744-b80c-b1fcef557e50","order_by":0,"name":"Atul","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7UlEQVRIie2RsYrCQBCGJwRSbYjl2MRXWBHkCh9ml4PUgiApDkm1NnK1guAreG+QMBCbxXqPa3wAC8X+cInYyRo7i/3KYT5m5h8Aj+c9CUqRI0vCsDowwKZUOoXINpz0KO3O1SdvrVQrlQ241kNkbbZKNgtOsSK5NWKYH/MPSOZlQGOHgjXjxPYkV0Zkv2uNgFoALV1jGmVK8tuI+i9W9hYDQK4Ne40SkSyMVJP4H6H3TOFWqZb2/I6mKIwLBP5M6dfZ+B5y2F3XyPpaFk4lJfo53F6ZnE/Hr1ma7ogurdK+Y5uD4hXB4/F4PA+4As8uVAk5kpiUAAAAAElFTkSuQmCC","orcid":"https://orcid.org/0009-0000-3313-7829","institution":"Kumar","correspondingAuthor":true,"prefix":"","firstName":"","middleName":"","lastName":"Atul","suffix":""}],"badges":[],"createdAt":"2025-05-24 19:18:45","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":true,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":true},"doi":"10.21203/rs.3.rs-6740645/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6740645/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":83527275,"identity":"a4c4e98e-c9de-43bc-9e0a-e85240253b48","added_by":"auto","created_at":"2025-05-28 03:14:32","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1174137,"visible":true,"origin":"","legend":"","description":"","filename":"synchoroniztion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6740645/v1_covered_d7bbf875-5d1a-4ae7-8c73-52683e5f8741.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eChaos synchronization of the modified Lorenz-like system using nonlinear control with novel fractional operators\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"Dayalbagh Educational Institute","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":"Modified Lorenz-Like System, Piecewise Derivatives, Chaos Synchronization","lastPublishedDoi":"10.21203/rs.3.rs-6740645/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6740645/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003e\tThe modified Lorenz-like system presents the piecewise idea for the differential operators. \u0026nbsp;Numerical solutions are formulated in a piecewise sense using different differential operators. 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