Effects of Degree Correlation on the synchronizability of networks of nonlinear oscillators

This paper is concerned with the investigation of the effects that the presence of degree correlation has on the synchronization of a network of coupled nonlinear oscillator. The main result is that disassortative networks are found to synchronize better. Specifically, synchronizability is enhanced in networks with various degree distribution, when nodes characterised by low degree are more likely to be connected to nodes with higher degree.