Author： Sheshbolouki A. Zarei M. Sarbazi-Azad H.
Publisher： Edp Sciences
E-ISSN： 1286-4854|111|4|40010-40010
ISSN： 0295-5075
Source： EPL (EUROPHYSICS LETTERS), Vol.111, Iss.4, 2015-09, pp. : 40010-40010
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Abstract
We study the effects of directionality on synchronization of dynamical networks. Performing the linear stability analysis and the numerical simulation of the Kuramoto model in directed networks, we show that balancing in- and out-degrees of all nodes enhances the synchronization of sparse networks, especially in networks with high clustering coefficient and homogeneous degree distribution. Furthermore, by omitting all the feedback loops, we show that while hierarchical directed acyclic graphs are structurally highly synchronizable, their global synchronization is too sensitive to the choice of natural frequencies and is strongly affected by noise.
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