Issue |
EPL
Volume 111, Number 4, August 2015
|
|
---|---|---|
Article Number | 40010 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/111/40010 | |
Published online | 04 September 2015 |
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.