Enhancement of synchronizability of the Kuramoto model with assortative degree-frequency mixing

Abstract

Assortative mixing feature is an important topological property in complex networks. In this paper, we extend degree-degree mixing feature to non-identical nodes networks.We propose the degree-frequency correlation coefficient to measure the correlations between the degree and the natural frequency of oscillators. We find that the perfect assortative degree-frequency network is quite easy to synchronize.We also investigate the synchronization of complex networks with different degree-frequency coefficient. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.