Construction of a novel five-dimensional Hamiltonian conservative hyperchaotic system and its application in image encryption

Construction of a novel five-dimensional Hamiltonian conservative hyperchaotic system and its application in image encryption | 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 Construction of a novel five-dimensional Hamiltonian conservative hyperchaotic system and its application in image encryption Minxiu yan, Shuyan Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3836768/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 03 Feb, 2025 Read the published version in Soft Computing → Version 1 posted 6 You are reading this latest preprint version Abstract In order to investigate the potential application of conservative hyperchaotic systems in secure communication and image encryption, a novel five-dimensional Hamiltonian conservative hyperchaotic system was developed based on the Euler equation theory. Subsequently, the system’s dynamic behaviors, including Hamiltonian energy conservation, phase volume conservation, and symmetrical Lyapunov exponent about 0, were analyzed through energy analysis, dynamic analysis, and numerical simulation. The results revealed that the new system exhibits strong conservative hyperchaotic characteristics within a wide range of initial values and parameters, with a remarkable increase in the maximum Lyapunov exponent. This enhanced chaotic behavior makes the new system more suitable for image encryption applications. Furthermore, by altering the initial value, a nested coexistence phenomenon of multiple energy levels was observed. Finally, the system was successfully applied to image encryption, and an image encryption algorithm was designed and validated to possess superior confidentiality performance. Conservative hyperchaotic systems secure communication image encryption Hamiltonian energy conservation Lyapunov exponent chaos Full Text Cite Share Download PDF Status: Published Journal Publication published 03 Feb, 2025 Read the published version in Soft Computing → Version 1 posted Editorial decision: Major Revision 01 Apr, 2024 Reviewers agreed at journal 13 Feb, 2024 Reviewers invited by journal 12 Feb, 2024 Editor invited by journal 08 Feb, 2024 Editor assigned by journal 07 Jan, 2024 First submitted to journal 05 Jan, 2024 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-3836768","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":272628637,"identity":"0a916dd8-cc5f-45a0-b69a-da6acb4812d2","order_by":0,"name":"Minxiu yan","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVRIiWNgGAWjYLCCBAYGHgb2BiQucVp4DoCYBkRqAQOJBCK1GBw/e3TDwx2HZQxuPn8mzVPzh4GfPceA4ecOPFrO5KXdSDyTxmNwO8dMmueYAYNkzxsDxt4zeLQcyDG7kdhmA9LCJs3bYMBgcCPHgJmxDY+W829AWiR4DG4efwbWYk9Qyw2YLTcYzCC2SBDQInkDbEsaj+SZHGPLOceMeSTOPCs42ItHC9/5HLObP9sO2/MdP/7wxpsaOTn+9uSND37i0aJwAMFmkWAAxSkQHMCqFgrkGxBs5g/4VI6CUTAKRsHIBQBfzlDe1lFFsgAAAABJRU5ErkJggg==","orcid":"","institution":"Shenyang University of Chemical Technology","correspondingAuthor":true,"prefix":"","firstName":"Minxiu","middleName":"","lastName":"yan","suffix":""},{"id":272628638,"identity":"84914a7b-908f-4434-b42b-336a621dd6cc","order_by":1,"name":"Shuyan Li","email":"","orcid":"","institution":"Shenyang University of Chemical Technology","correspondingAuthor":false,"prefix":"","firstName":"Shuyan","middleName":"","lastName":"Li","suffix":""}],"badges":[],"createdAt":"2024-01-05 08:54:26","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3836768/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3836768/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00500-025-10443-z","type":"published","date":"2025-02-03T15:56:57+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":75929952,"identity":"e90112db-65a8-4b75-a3eb-966a66d5f91f","added_by":"auto","created_at":"2025-02-10 16:07:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":5931983,"visible":true,"origin":"","legend":"","description":"","filename":"ymxlsy.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3836768/v1_covered_b1fa6fc7-8ed4-4781-97a3-3c166a46ae96.pdf"}],"financialInterests":"","formattedTitle":"Construction of a novel five-dimensional Hamiltonian conservative hyperchaotic system and its application in image encryption","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":true,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"soft-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"soco","sideBox":"Learn more about [Soft Computing](https://www.springer.com/journal/500)","snPcode":"500","submissionUrl":"https://submission.nature.com/new-submission/500/3","title":"Soft Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Conservative hyperchaotic systems, secure communication, image encryption, Hamiltonian energy conservation, Lyapunov exponent, chaos","lastPublishedDoi":"10.21203/rs.3.rs-3836768/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3836768/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In order to investigate the potential application of conservative hyperchaotic systems in secure communication and image encryption, a novel five-dimensional\nHamiltonian conservative hyperchaotic system was developed based on the Euler equation theory. Subsequently, the system’s dynamic behaviors, including\nHamiltonian energy conservation, phase volume conservation, and symmetrical Lyapunov exponent about 0, were analyzed through energy analysis, dynamic\nanalysis, and numerical simulation. The results revealed that the new system exhibits strong conservative hyperchaotic characteristics within a wide range\nof initial values and parameters, with a remarkable increase in the maximum Lyapunov exponent. This enhanced chaotic behavior makes the new system\nmore suitable for image encryption applications. Furthermore, by altering the initial value, a nested coexistence phenomenon of multiple energy levels was\nobserved. Finally, the system was successfully applied to image encryption, and an image encryption algorithm was designed and validated to possess superior\nconfidentiality performance.","manuscriptTitle":"Construction of a novel five-dimensional Hamiltonian conservative hyperchaotic system and its application in image encryption","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-02-15 08:55:11","doi":"10.21203/rs.3.rs-3836768/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Major Revision","date":"2024-04-01T21:16:38+00:00","index":"","fulltext":""},{"type":"reviewerAgreed","content":"","date":"2024-02-13T07:31:03+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2024-02-12T23:15:09+00:00","index":"","fulltext":""},{"type":"editorInvited","content":"Soft Computing","date":"2024-02-08T21:45:47+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2024-01-07T06:01:14+00:00","index":"","fulltext":""},{"type":"submitted","content":"Soft Computing","date":"2024-01-05T06:12:03+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"soft-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"soco","sideBox":"Learn more about [Soft Computing](https://www.springer.com/journal/500)","snPcode":"500","submissionUrl":"https://submission.nature.com/new-submission/500/3","title":"Soft Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"8767affe-af0a-4384-98b5-826986ce1c4f","owner":[],"postedDate":"February 15th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[],"tags":[],"updatedAt":"2025-02-10T15:59:02+00:00","versionOfRecord":{"articleIdentity":"rs-3836768","link":"https://doi.org/10.1007/s00500-025-10443-z","journal":{"identity":"soft-computing","isVorOnly":false,"title":"Soft Computing"},"publishedOn":"2025-02-03 15:56:57","publishedOnDateReadable":"February 3rd, 2025"},"versionCreatedAt":"2024-02-15 08:55:11","video":"","vorDoi":"10.1007/s00500-025-10443-z","vorDoiUrl":"https://doi.org/10.1007/s00500-025-10443-z","workflowStages":[]},"version":"v1","identity":"rs-3836768","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3836768","identity":"rs-3836768","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}