Enhancing complex-network synchronizationA. E. Motter1, C. S. Zhou2 and J. Kurths2
1 Max Planck Institute for the Physics of Complex Systems Nöthnitzer Strasse 38, 01187 Dresden, Germany
2 Institute of Physics, University of Potsdam - PF 601553, 14415 Potsdam, Germany
received 27 May 2004; accepted in final form 24 November 2004
published online 5 January 2005
Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted coupling). Here we uncover a condition for enhanced synchronization in weighted networks with asymmetric coupling. We show that, in the optimum regime, synchronizability is solely determined by the average degree and does not depend on the system size and the details of the degree distribution. In scale-free networks, where the average degree may increase with heterogeneity, synchronizability is drastically enhanced and may become positively correlated with heterogeneity, while the overall cost involved in the network coupling is significantly reduced as compared to the case of unweighted coupling.
05.45.Xt - Synchronization; coupled oscillators.
© EDP Sciences 2005