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Title: Dynamics, Games and Science I
Other Titles: Networks Synchronizability, Local Dynamics and Some Graph Invariants
Authors: Caneco, Acilina
Fernandes, Sara
Grácio, Clara
Rocha, J. Leonel
Editors: Peixoto, Mauricio
Pinto, Alberto Adrego
Rand, David A.
Keywords: network
topological entropy
Issue Date: 2011
Publisher: Springer-Verlag
Citation: Acilina Caneco, Sara Fernandes, Clara Grácio and J. Leonel Rocha, Networks Synchronizability, Local Dynamics and Some Graph Invariants , in Dynamics, Games and Science I, Peixoto, Mauricio Matos; Pinto, Alberto Adrego; Rand, David A. (Eds.), 2011, Hardcover, ISBN 978-3-642-11455-7.
Abstract: The synchronization of a network depends on a number of factors, including the strength of the coupling, the connection topology and the dynamical behaviour of the individual units. In the first part of this work, we fix the network topology and obtain the synchronization interval in terms of the Lyapounov exponents for piecewise linear expanding maps in the nodes. If these piecewise linear maps have the same slope ±s everywhere, we get a relation between synchronizability and the topological entropy. In the second part of this paper we fix the dynamics in the individual nodes and address our work to the study of the effect of clustering and conductance in the amplitude of the synchronization interval.
ISBN: ISBN 978-3-642-11455-7
Type: bookPart
Appears in Collections:CIMA - Publicações - Capítulos de Livros

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