Are feedback loops destructive to synchronization?
1 School of Engineering and Science, Sharif University of Technology, International Campus - Kish Island, Iran
2 School of Computer Science, Institute for Research in Fundamental Sciences (IPM) - Tehran, Iran
3 Department of Computer Engineering, Sharif University of Technology - Tehran, Iran
Received: 12 March 2015
Accepted: 10 August 2015
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.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.Fb – Structures and organization in complex systems / 89.75.-k – Complex systems
© EPLA, 2015