Synchronization on directed small worlds: Feed forward loops and cyclesM. Brede
CSIRO Marine and Atmospheric Research, CSIRO Centre for Complex System Science, F. C. Pye Laboratory GPO Box 1666, Clunies Ross Street, Canberra ACT 2601, Australia
received 28 July 2008; accepted in final form 2 October 2008; published November 2008
published online 4 November 2008
In this paper we investigate the influence of directed motifs on the synchronization properties of Kuramoto oscillators on directed networks. Building different types of sparse directed small world networks similar to the Watts and Strogatz procedure we establish that feed forward loops favour synchronization on directed networks. The paper highlights the importance of local network characteristics for synchronization.
05.45.Xt - Synchronization; coupled oscillators.
89.75.Fb - Structures and organization in complex systems.
89.75.Hc - Networks and genealogical trees.
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