Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks

Berner, Rico; Sawicki, Jakub; Schöll, Eckehard

Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks

dc.contributor.author	Berner, Rico
dc.contributor.author	Sawicki, Jakub
dc.contributor.author	Schöll, Eckehard
dc.date.accessioned	2020-11-16T18:24:55Z
dc.date.available	2020-11-16T18:24:55Z
dc.date.issued	2020-02-24
dc.description.abstract	We propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuroscience and social sciences, as well as biology, engineering, and other disciplines. We show by theoretical analysis and computer simulations that multiplexing in a multilayer network with symmetry can induce various stable phase cluster states in a situation where they are not stable or do not even exist in the single layer. Further, we develop a method for the analysis of Laplacian matrices of multiplex networks which allows for insight into the spectral structure of these networks enabling a reduction to the stability problem of single layers. We employ the multiplex decomposition to provide analytic results for the stability of the multilayer patterns. As local dynamics we use the paradigmatic Kuramoto phase oscillator, which is a simple generic model and has been successfully applied in the modeling of synchronization phenomena in a wide range of natural and technological systems.	en
dc.description.sponsorship	DFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte	en
dc.identifier.eissn	1079-7114
dc.identifier.issn	0031-9007
dc.identifier.uri	https://depositonce.tu-berlin.de/handle/11303/11976
dc.identifier.uri	http://dx.doi.org/10.14279/depositonce-10858
dc.language.iso	en	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject.ddc	530 Physik	de
dc.subject.other	adaptive network	en
dc.subject.other	nonlinear dynamics	en
dc.subject.other	adaptation	en
dc.subject.other	self-organizing systems	en
dc.subject.other	phase cluster	en
dc.title	Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks	en
dc.type	Article	en
dc.type.version	acceptedVersion	en
dcterms.bibliographicCitation.articlenumber	088301	en
dcterms.bibliographicCitation.doi	10.1103/PhysRevLett.124.088301	en
dcterms.bibliographicCitation.issue	8	en
dcterms.bibliographicCitation.journaltitle	Physical Review Letters	en
dcterms.bibliographicCitation.originalpublishername	American Physical Society (APS)	en
dcterms.bibliographicCitation.originalpublisherplace	College Park, Md.	en
dcterms.bibliographicCitation.volume	124	en
tub.accessrights.dnb	free	en
tub.affiliation	Fak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik und Kontrolle	de
tub.affiliation.faculty	Fak. 2 Mathematik und Naturwissenschaften	de
tub.affiliation.group	FG Nichtlineare Dynamik und Kontrolle	de
tub.affiliation.institute	Inst. Theoretische Physik	de
tub.publisher.universityorinstitution	Technische Universität Berlin	en