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Slowing down of linear consensus dynamics on temporal networks: some theoretical extensions**We acknowledge financial support provided by CREST, JST, Volk-swagenStiftung, and MINECO (Spain) and FEDER (EU) through the MODASS project (No. FIS2011-24785).

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dc.contributor.author Masuda, Naoki
dc.contributor.author Klemm, Konstantin
dc.contributor.author Eguíluz, Víctor M.
dc.creator Naoki, Masuda
dc.date.accessioned 2017-12-22T07:45:05Z
dc.date.available 2017-12-22T07:45:05Z
dc.date.issued 2015-01-01
dc.identifier DOI:10.1016/j.ifacol.2015.11.034
dc.identifier.citation Naoki Masuda, Konstantin Klemm, Víctor M. Eguíluz, Slowing down of linear consensus dynamics on temporal networks: some theoretical extensions**We acknowledge financial support provided by CREST, JST, Volk-swagenStiftung, and MINECO (Spain) and FEDER (EU) through the MODASS project (No. FIS2011-24785)., In IFAC-PapersOnLine, Volume 48, Issue 18, 2015, Pages 187-192
dc.identifier.issn 24058963
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S2405896315022922
dc.identifier.uri http://nur.nu.edu.kz/handle/123456789/3041
dc.description.abstract Abstract The conditions for synchronization (equivalently, consensus) in linear and nonlinear switching dynamical systems have been extensively studied. In a previous study, we examined the speed of convergence of linear dynamical systems on switching networks in which each snapshot network defining interaction between dynamical elements is a network Laplacian. We showed that temporal dynamics (i.e., switching) of networks slowed down synchronization processes as compared to the case of aggregate dynamics, i.e., synchronization dynamics occurring on the corresponding static network obtained by the aggregation of the temporal network over time. Here we theoretically extend the results in two ways. First, we derive the conditions imposed on the interaction matrices under which the analytical slowing-down results hold true. The condition turns out to be essentially the same as that for the optimal network, which is known as the condition for the fastest local convergence of nonlinear dynamics on networks. Second, we examine the effect of correlation between different snapshots; in actual temporal networks, the same contact tends to be used consecutively in time. We argue that such temporal correlation further slows down temporal dynamics.
dc.relation.ispartof IFAC-PapersOnLine
dc.subject temporal networks
dc.subject linear dynamics
dc.subject synchronisation
dc.subject consensus
dc.subject switching dynamical system
dc.subject spectral gap
dc.title Slowing down of linear consensus dynamics on temporal networks: some theoretical extensions**We acknowledge financial support provided by CREST, JST, Volk-swagenStiftung, and MINECO (Spain) and FEDER (EU) through the MODASS project (No. FIS2011-24785).
dc.rights.license Copyright © 2015 Published by Elsevier Ltd.
dcterms.publisher IFAC-PapersOnLine
elsevier.identifier.doi 10.1016/j.ifacol.2015.11.034
elsevier.identifier.eid 1-s2.0-S2405896315022922
elsevier.identifier.pii S2405-8963(15)02292-2
elsevier.identifier.scopusid 84992507727
elsevier.volume 48
elsevier.issue.identifier 18
elsevier.issue.name 4th IFAC Conference on Analysis and Control of Chaotic Systems CHAOS 2015
elsevier.coverdate 2015-01-01
elsevier.coverdisplaydate 2015
elsevier.startingpage 187
elsevier.endingpage 192
elsevier.openaccess 0
elsevier.openaccessarticle false
elsevier.openarchivearticle false
elsevier.teaser The conditions for synchronization (equivalently, consensus) in linear and nonlinear switching dynamical systems have been extensively studied. In a previous study, we examined the speed of convergence...
elsevier.aggregationtype Journal


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