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Synchronization in complex networks under structural evolution
ANDRES ANZO HERNANDEZ
JUAN GONZALO BARAJAS RAMIREZ
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.jfranklin.2013.09.001
Switching topology
"We investigate the effects of structural evolution on the stability of synchronized behavior in complex networks. By structural evolution we mean processes that change the topology of the network. In particular, we consider structural evolution as two simultaneous processes: on one hand, the topology changes according to an arbitrary switching law among a set of admissible patterns of connection; on the other hand, the strength of connection evolves according to an adaptive law. Our results show that by constraining the admissible patterns of connection, and using an adaptive law based on the difference between the nodes, we can guarantee the stability of the synchronized solution of the network despite structural changes. Additionally, we extend our results by considering alternative structural evolution processes, namely, a node-based adaptive strategy and a resetting switching law. We illustrate our results with numerical simulation."
Elsevier
2014
Artículo
A. Anzo, J.G. Barajas-Ramírez, Synchronization in complex networks under structural evolution, Journal of the Franklin Institute, Volume 351, Issue 1, 2014, Pages 358-372.
MATEMÁTICAS
Versión revisada
submittedVersion - Versión revisada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos

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