Enhancing synchronizability of weighted dynamical networks using betweenness centrality.
By considering the eigenratio of the Laplacian of the connection graph as a synchronizability measure, we propose a procedure for weighting dynamical networks to enhance their synchronizability. The method is based on node and edge betweenness centrality measures and is tested on artificially constructed scale-free, Watts-Strogatz, and random networks as well as on some real-world graphs. It is also numerically shown that the same procedure could be used to enhance the phase synchronizability of networks of nonidentical oscillators.
Jalili
Mahdi
M
Laboratory of Nonlinear Systems, School of Computer and Communication Sciences, Ecole Polytechnique Fédérale de Lausanne, CH 1015, Lausanne, Switzerland. Mahdi.Jalili@epfl.ch
Rad
Ali Ajdari
AA
Hasler
Martin
M