Optimal synchronization on strongly connected directed networks
CSIRO Marine and Atmospheric Research, CSIRO Centre for Complex System Science, F C Pye Laboratory - GPO Box 3023, Clunies Ross Street Canberra ACT 2601, Australia
Corresponding author: Markus.Brede@Csiro.au
Revised: 6 November 2009
Published online: 21 January 2010
In this paper we construct and analyse strongly connected sparse directed networks with an enhanced propensity for synchronization (PFS). Two types of PFS-enhanced networks are considered: (i) an eigenratio minimizing ensemble with non-vanishing complex parts of the spectrum and (ii) a class of networks with real spectrum but slightly larger eigenratios than (i). We relate the superior PFSs to a strongly skewed out-degree distribution, the density of double links and a hierarchical periphery-core organization. Ensembles (i) and (ii) are found to differ in the density of double links and the particular organization of the core and the periphery-core linkage.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010