Synchronization of interconnected networks: the role of connector nodes

In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically, and experimentally how the degree of the nodes through which two networks are connected influences the ability of the whole system to synchronize...

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Bibliographic Details
Published in:Physical review letters 2014-06, Vol.112 (24), p.248701-248701, Article 248701
Main Authors: Aguirre, J, Sevilla-Escoboza, R, Gutiérrez, R, Papo, D, Buldú, J M
Format: Article
Language:English
Subjects:
Connectors
Electronics
Joining
Mathematical analysis
Models, Theoretical
Networks
Strategy
Synchronism
Synchronization
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Summary:In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically, and experimentally how the degree of the nodes through which two networks are connected influences the ability of the whole system to synchronize. We show that connecting the high-degree (low-degree) nodes of each network turns out to be the most (least) effective strategy to achieve synchronization. We find the functional relation between synchronizability and size for a given network of networks, and report the existence of the optimal connector link weights for the different interconnection strategies. Finally, we perform an electronic experiment with two coupled star networks and conclude that the analytical results are indeed valid in the presence of noise and parameter mismatches.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.112.248701