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Cluster synchronization in networks of structured communities
ADRIANA RUIZ SILVA
JUAN GONZALO BARAJAS RAMIREZ
En Embargo
31-08-2020
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.chaos.2018.06.002
Network of networks
Cluster synchronization
Community structures
"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."
Elsevier
2018
Artículo
Adriana Ruiz-Silva, Juan Gonzalo Barajas-Ramírez, Cluster synchronization in networks of structured communities, Chaos, Solitons & Fractals, Volume 113, 2018, Pages 169-177.
MATEMÁTICAS
Versión revisada
submittedVersion - Versión revisada
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