Synchronization in Networks With Heterogeneous Adaptation Rules and Applications to Distance-Dependent Synaptic Plasticity

dc.contributor.authorBerner, Rico
dc.contributor.authorYanchuk, Serhiy
dc.date.accessioned2021-08-02T06:56:53Z
dc.date.available2021-08-02T06:56:53Z
dc.date.issued2021-07-15
dc.date.updated2021-07-29T08:22:06Z
dc.description.abstractThis work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with distance-dependent adaptations. For this system, we extend the master stability function approach to adaptive networks with heterogeneous adaptation. Our method allows for separating the contributions of network structure, local node dynamics, and heterogeneous adaptation in determining synchronization. Utilizing our proposed methodology, we explain mechanisms leading to synchronization or desynchronization by enhanced long-range connections in nonlocally coupled ring networks and networks with Gaussian distance-dependent coupling weights equipped with a biologically motivated plasticity rule.en
dc.description.sponsorshipDFG, 411803875, Dynamik gekoppelter Systeme mit Zeitverzögerungen und deren Anwendungenen
dc.description.sponsorshipDFG, 440145547, Komplexe dynamische Netzwerke: Effekte von Heterogenität, Adaptivität und Topologie der Kopplungenen
dc.description.sponsorshipDFG, 414044773, Open Access Publizieren 2021 - 2022 / Technische Universität Berlinde
dc.identifier.eissn2297-4687
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/13470
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-12256
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc510 Mathematikde
dc.subject.othersynaptic plasticityen
dc.subject.otheradaptive networksen
dc.subject.otherphase oscillatoren
dc.subject.othersynchronizationen
dc.subject.otherdistance-dependent synaptic plasticityen
dc.subject.othernonlocally coupled ringsen
dc.subject.othermaster stability approachen
dc.titleSynchronization in Networks With Heterogeneous Adaptation Rules and Applications to Distance-Dependent Synaptic Plasticityen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber714978en
dcterms.bibliographicCitation.doi10.3389/fams.2021.714978en
dcterms.bibliographicCitation.journaltitleFrontiers in Applied Mathematics and Statisticsen
dcterms.bibliographicCitation.originalpublishernameFrontiersen
dcterms.bibliographicCitation.originalpublisherplaceLausanneen
dcterms.bibliographicCitation.volume7en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik und Kontrollede
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Nichtlineare Dynamik und Kontrollede
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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