Synchronization and Bifurcation of General Complex Dynamical Networks

In the present paper,synchronization and bifurcation of general complex dynamical networks are investi-gated.We mainly focus on networks with a somewhat general coupling matrix,i.e.,the sum of each row equals a nonzeroconstant u.We derive a result that the networks can reach a new synchronous state,which is not the asymptotic limit setdetermined by the node equation.At the synchronous state,the networks appear bifurcation if we regard the constantu as a bifurcation parameter.Numerical examples are given to illustrate our derived conclusions.