  In the past few years, the discoveries of small-world and scale-free
properties of many natural and artificial complex networks have stimulated
significant advances in better understanding the relationship between the
topology and the collective dynamics of complex networks. This paper reports
recent progresses in the literature of synchronization of complex dynamical
networks including stability criteria, network synchronizability and uniform
synchronous criticality in different topologies, and the connection between
control and synchronization of complex networks as well. The economic-cycle
synchronous phenomenon in the World Trade Web, a scale-free type of social
economic networks, is used to illustrate an application of the network
synchronization mechanism.
