Effects of degree correlation on the synchronization of networks of oscillators

In this paper, we investigate the effects of degree correlation on the synchronization of networks of coupled identical nonlinear oscillators. Firstly, it is shown both numerically and theoretically that synchronizability is enhanced when the network topology exhibits negative degree correlation. Then, the synchronization dynamics is studied of a network of identical Rossler oscillators under variation of the network degree correlation properties. We observe that negative correlation has a positive effect on the synchronization dynamics of such networks.