Solitary states in complex networks: impact of topology

dc.contributor.authorSchülen, Leonhard
dc.contributor.authorMikhailenko, Maria
dc.contributor.authorMedeiros, Everton S.
dc.contributor.authorZakharova , Anna
dc.date.accessioned2023-01-23T13:27:18Z
dc.date.available2023-01-23T13:27:18Z
dc.date.issued2022-11-10
dc.description.abstractThe dynamical behavior of networked systems is expected to reflect the properties of their coupling structure. Yet, symmetry-broken solutions often occur in symmetrically coupled networks. An example are so-called solitary states where the dynamics of one network node is different from the synchronized rest. Here, we investigate the structural constraints of networks for the appearance of solitary states. By performing a large number of numerical simulations, we find that such states occur with high probability in asymmetric networks, among them scale-free ones. We analyze the structural properties of the networks that support solitary states. We demonstrate that the minimum neighbor node degree of a solitary node is crucial for the appearance of solitary states. Finally, we perform bifurcation analysis of dimension-reduced systems, which confirm the importance of the connectivity of the neighboring nodes.en
dc.description.sponsorshipTU Berlin, Open-Access-Mittel – 2022
dc.description.sponsorshipDFG, 454054251, Verletzlichkeit von Synchronisation durch die Existenz chaotischer Sattel
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
dc.identifier.eissn1951-6401
dc.identifier.issn1951-6355
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/18045
dc.identifier.urihttps://doi.org/10.14279/depositonce-16837
dc.language.isoen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.ddc530 Physikde
dc.subject.othercomplex networksen
dc.subject.othertopologyen
dc.subject.othernetworked systemsen
dc.subject.othercouplingen
dc.subject.othersymmetrically coupled networksen
dc.titleSolitary states in complex networks: impact of topologyen
dc.typeArticle
dc.type.versionpublishedVersion
dcterms.bibliographicCitation.doi10.1140/epjs/s11734-022-00713-4
dcterms.bibliographicCitation.journaltitleEuropean physical journal special topics
dcterms.bibliographicCitation.originalpublishernameSpringer Nature
dcterms.bibliographicCitation.originalpublisherplaceHeidelberg
dcterms.bibliographicCitation.pageend4130
dcterms.bibliographicCitation.pagestart4123
dcterms.bibliographicCitation.volume231
dcterms.rightsHolder.referenceCreative-Commons-Lizenz
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik & Strukturbildung
tub.publisher.universityorinstitutionTechnische Universität Berlin

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