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Cluster synchronization in networks of structured communities

dc.contributor.authorRuiz Silva, Adriana
dc.contributor.authorBarajas Ramírez, Juan Gonzalo
dc.identifier.citationAdriana Ruiz-Silva, Juan Gonzalo Barajas-Ramírez, Cluster synchronization in networks of structured communities, Chaos, Solitons & Fractals, Volume 113, 2018, Pages 169-177.
dc.description.abstract"We investigate the synchronization problem for a network of subnetwork with community structure. We consider a model with different levels of interconnection: At the first, strongly coupled adjacent nodes are modeled as a compact unit (CU) where connections are uniformed and undirected. A second level of connection occurs as CUs with similar dynamic behaviors from communities by weighted and undirected interactions. Finally a third level of connection, where directed and weighted connections between these communities form the entire network of subnetworks. Using the Lyapunov approach we show that cluster synchronization is possible for our network model where even though all nodes are interconnected each community achieves complete synchronization within, while the behavior between communities is not synchronized. Our main results are illustrated using numerical simulations of well-known benchmark systems."
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.subjectNetwork of networks
dc.subjectCluster synchronization
dc.subjectCommunity structures
dc.titleCluster synchronization in networks of structured communities
dc.rights.accessAcceso Abierto

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional