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Title: Synchronization and information transmission in networks
Authors: Caneco, Acilina
Rocha, Leonel
Editors: Jarczyk, Witold
Fournier-Prunaret, Daniele
Cabral, João
Keywords: Synchronization
complex networks
information theory
Lyapunov exponents
mutual information rate
Kolmogorov-Sinai entropy
Issue Date: 2014
Publisher: ESAIM: PROCEEDINGS AND SURVEYS, November 2014, Vol. 46, p. 111-124
Citation: Acilina Caneco and J. Leonel Rocha, Synchronization and information transmission in networks, ESAIM: Proceedings and surveys, Vol. 46, p. 111-124. (, (2014)
Abstract: The amount of information produced by a network may be measured by the mutual information rate. This measure, the Kolmogorov-Sinai entropy and the synchronization interval are expressed in terms of the transversal Lyapunov exponents. Thus, these concepts are related and we proved that the larger the synchronization is, the larger the rate with which information is exchanged between nodes in the network. In fact, as the coupling parameter increases, the mutual information rate increases to a maximum at the synchronization interval and then decreases. Moreover, the Kolmogorov-Sinai entropy decreases until reaching a minimum at the synchronization interval and then increases. We present some numerical simulations considering two different versions of coupling two maps, a complete network and a lattice, which confirmed our theoretical results.
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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