The influence of structural properties of a network on the network synchronizability is studied by introducing a new concept of average range of edges. For both small-world and scale-free networks, the effect of avera...The influence of structural properties of a network on the network synchronizability is studied by introducing a new concept of average range of edges. For both small-world and scale-free networks, the effect of average range on the synchronizability of networks with bounded or unbounded synchronization regions is illustrated through numerical simulations. The relations between average range, range distribution, average distance, and maximum betweenness are also explored, revealing the effects of these factors on the network synchronizability of the small-world and scale-free networks, respectively.展开更多
基金Supported by the Special Research Funds for Selection and Career Development of Outstanding Young Teachers in Higher Educational Institutions of Shanghai,Chinathe Leading Academic Discipline Program,the 211 Project for Shanghai University of Finance and Economics (the 3rd phase)+1 种基金the National Science Foundation of China under Grant No.10832006the City University of Hong Kong under the SRG under Grant No.7002134453
文摘The influence of structural properties of a network on the network synchronizability is studied by introducing a new concept of average range of edges. For both small-world and scale-free networks, the effect of average range on the synchronizability of networks with bounded or unbounded synchronization regions is illustrated through numerical simulations. The relations between average range, range distribution, average distance, and maximum betweenness are also explored, revealing the effects of these factors on the network synchronizability of the small-world and scale-free networks, respectively.
