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Open Access item Phase clustering in complex networks of delay-coupled oscillatos

Authors:Pérez, Toni
Eguíluz, Víctor M.
Arenas, Alex
Issue Date:2011
Publisher:American Institute of Physics
Citation:Chaos: An Interdisciplinary Journal of Nonlinear Science 21: 025111 (2011)
Abstract:We study the clusterization of phase oscillators coupled with delay in complex networks. For the case of difussive oscillators, we formulate the equations relating the topology of the network and the phases and frequencies of the oscillators (functional response). We solve them exactly in directed networks for the case of perfect synchronization. We also compare the reliability of the solution of the linear system for non-linear couplings. Taking advantage of the form of the solution, we propose a frequency adaptation rule to achieve perfect synchronization. We also propose a mean-field theory for uncorrelated random networks that proves to be pretty accurate to predict phase synchronization in real topologies, as for example the C.elegans or the Autonomous Systems connectivity.
Publisher version (URL):http://dx.doi.org/10.1063/1.3595601
E-ISSNmetadata.dc.identifier.doi = DOI:1089-7682
Appears in Collections:(IFISC) Artículos

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