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Título

Phase clustering in complex networks of delay-coupled oscillatos

AutorPérez, Toni; Eguíluz, Víctor M. ; Arenas, Alex
Fecha de publicación2011
EditorAmerican Institute of Physics
CitaciónChaos: An Interdisciplinary Journal of Nonlinear Science 21: 025111 (2011)
ResumenWe 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.
Versión del editorhttp://dx.doi.org/10.1063/1.3595601
URIhttp://hdl.handle.net/10261/45984
DOI10.1063/1.3595601
ISSN1054-1500
E-ISSN1089-7682
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