Solitary states in complex networks: impact of topology
dc.contributor.author | Schülen, Leonhard | |
dc.contributor.author | Mikhailenko, Maria | |
dc.contributor.author | Medeiros, Everton S. | |
dc.contributor.author | Zakharova , Anna | |
dc.date.accessioned | 2023-01-23T13:27:18Z | |
dc.date.available | 2023-01-23T13:27:18Z | |
dc.date.issued | 2022-11-10 | |
dc.description.abstract | The 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.sponsorship | TU Berlin, Open-Access-Mittel – 2022 | |
dc.description.sponsorship | DFG, 454054251, Verletzlichkeit von Synchronisation durch die Existenz chaotischer Sattel | |
dc.description.sponsorship | DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte | |
dc.identifier.eissn | 1951-6401 | |
dc.identifier.issn | 1951-6355 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/18045 | |
dc.identifier.uri | https://doi.org/10.14279/depositonce-16837 | |
dc.language.iso | en | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject.ddc | 530 Physik | de |
dc.subject.other | complex networks | en |
dc.subject.other | topology | en |
dc.subject.other | networked systems | en |
dc.subject.other | coupling | en |
dc.subject.other | symmetrically coupled networks | en |
dc.title | Solitary states in complex networks: impact of topology | en |
dc.type | Article | |
dc.type.version | publishedVersion | |
dcterms.bibliographicCitation.doi | 10.1140/epjs/s11734-022-00713-4 | |
dcterms.bibliographicCitation.journaltitle | European physical journal special topics | |
dcterms.bibliographicCitation.originalpublishername | Springer Nature | |
dcterms.bibliographicCitation.originalpublisherplace | Heidelberg | |
dcterms.bibliographicCitation.pageend | 4130 | |
dcterms.bibliographicCitation.pagestart | 4123 | |
dcterms.bibliographicCitation.volume | 231 | |
dcterms.rightsHolder.reference | Creative-Commons-Lizenz | |
tub.accessrights.dnb | free | |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik & Strukturbildung | |
tub.publisher.universityorinstitution | Technische Universität Berlin |