Heterogeneous network coupling induced coexistence of activated and inactivated clusters in individual cognitive networks

Heterogeneous network coupling induced coexistence of activated and inactivated clusters in individual cognitive networks | 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 Heterogeneous network coupling induced coexistence of activated and inactivated clusters in individual cognitive networks Dehua Chen, Zhiyin Yang, Xuhong Liao, Zonghua Liu This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3870176/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 7 You are reading this latest preprint version Abstract It was evidenced that in the sleep deprived brain, subsets of neurons may enter an off period while others remain on, called {\it local sleep} (Nature {\bf 472}, 443 (2011)), but the underlying mechanism is still not completely understood. To figure out the answer, herein we present a neural network model of individual cognitive networks with adaptive chemical coupling and interestingly find that with the increase of coupling strength, a phenomenon of coexistence of activated and inactivated clusters can be observed, which thus provides a possible explanation for the mechanism of local sleep. This phenomenon is closely related to the feature of degree heterogeneity of cognitive networks and will disappear in homogeneous networks. Further, we show that the activated cluster comes from recurrent oscillation death while the inactivated cluster comes from their stabilized synchronization. Finally, a brief theoretical analysis is provided to explain these results. Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 22 Feb, 2024 Reviews received at journal 25 Jan, 2024 Reviewers agreed at journal 20 Jan, 2024 Reviewers invited by journal 20 Jan, 2024 Editor assigned by journal 20 Jan, 2024 Submission checks completed at journal 19 Jan, 2024 First submitted to journal 16 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-3870176","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":268245062,"identity":"cea162dd-2a56-4330-b084-b58da6017bf5","order_by":0,"name":"Dehua Chen","email":"","orcid":"","institution":"East China Normal University","correspondingAuthor":false,"prefix":"","firstName":"Dehua","middleName":"","lastName":"Chen","suffix":""},{"id":268245063,"identity":"c298854a-a2cf-4208-9586-47a722c61e9b","order_by":1,"name":"Zhiyin Yang","email":"","orcid":"","institution":"East China Normal University","correspondingAuthor":false,"prefix":"","firstName":"Zhiyin","middleName":"","lastName":"Yang","suffix":""},{"id":268245064,"identity":"bb5b19f7-b73c-4422-a2d5-32d780bffa29","order_by":2,"name":"Xuhong Liao","email":"","orcid":"","institution":"Beijing Normal University","correspondingAuthor":false,"prefix":"","firstName":"Xuhong","middleName":"","lastName":"Liao","suffix":""},{"id":268245065,"identity":"6501fc1f-dbb3-43bc-95c4-8ee9b07d0492","order_by":3,"name":"Zonghua Liu","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIie3RMQuCQBTA8ScHN521GkL2EQyhqQ9zh3sUQTQEGYJjs5L0GZyaTw5qiWaHlpamhkBoTi1oO20Luj/c8rgfb3gAKtUvZiCPwxzoZ8JriVaQ47cEtOAbYm1WK6FvzyObozSfBNBtZVTLxxKixakn9N11anPsmlEATiejyAwlBBmsJIIlnAyQHgBLMooRkRBckbgk7UdJlrWEVMSrtuCSULuOGAVJ4/2VRQI7JjkZ/eh48U0ZsUJX3G+LM1sf/EtOZkOrdXDTXEbeceiJ19biFZdqEAer0T+VSqX6y54+SFB5ZgDFagAAAABJRU5ErkJggg==","orcid":"","institution":"East China Normal University","correspondingAuthor":true,"prefix":"","firstName":"Zonghua","middleName":"","lastName":"Liu","suffix":""}],"badges":[],"createdAt":"2024-01-16 14:59:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3870176/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3870176/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":49954647,"identity":"8a7a6b74-6250-4b73-8303-b4f8d9509ede","added_by":"auto","created_at":"2024-01-22 07:30:10","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":23624490,"visible":true,"origin":"","legend":"","description":"","filename":"paper.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3870176/v1_covered_9090a0df-ef71-4b82-9e78-86ca9406c8d1.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Heterogeneous network coupling induced coexistence of activated and inactivated clusters in individual cognitive networks","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":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nonlinear-dynamics","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"nody","sideBox":"Learn more about [Nonlinear Dynamics](https://www.springer.com/journal/11071)","snPcode":"11071","submissionUrl":"https://submission.nature.com/new-submission/11071/3","title":"Nonlinear Dynamics","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-3870176/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3870176/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"It was evidenced that in the sleep deprived brain, subsets of neurons may enter an off period while\nothers remain on, called {\\it local sleep} (Nature {\\bf 472}, 443 (2011)), but the underlying mechanism\nis still not completely understood. To figure out the answer, herein we present a neural network model\nof individual cognitive networks with adaptive chemical coupling and interestingly find that with the\nincrease of coupling strength, a phenomenon of coexistence of activated and inactivated clusters can be\nobserved, which thus provides a possible explanation for the mechanism of local sleep. This phenomenon \nis closely related to the feature of degree heterogeneity of cognitive networks and will disappear in \nhomogeneous networks. Further, we show that the activated cluster comes from recurrent oscillation death \nwhile the inactivated cluster comes from their stabilized synchronization. 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