Synchronization in weighted scale-free networks with degree–degree correlation

We study synchronization phenomena in scale-free networks of asymmetrically coupled dynamical systems featuring degree–degree correlation in the topology of the connection wiring. We show that when the interaction is dominant from the high-degree to the low-degree (or from the low-degree to the high degree) nodes, synchronization is enhanced for assortative (or disassortative) degree–degree correlations.