| This paper summarizes the definition of chaotic synchronization, realize the chaotic synchronization method and the discriminant method chaotic synchronization. Simply introduced the characteristics of complex networks, basic definition and its network model.summarizes the current research situation of complex networks. On this basis, through the same system of linear item and the separation of nonlinear term. structure nonlinear coupling function. Based on the Lyapunov stability analysis, using matrix structure structure Lyapunov function. Through the quadratic plus or minus set discriminant method, determined the makes the system to achieve synchronized coupling coefficient of range. And with Rossler system for example, simulation in this range, in different under the action of the coupling coefficient, the synchronization system confirmed the authenticity of this method. In addition, this paper also studies the complex network of adaptive chaotic synchronization method, this method will also system of linear item and nonlinear term undertakes depart, will nonlinear term linearization, through the one-way chain will network connecting all nodes ,the role of the linear coupling function, Tectonic Lyapunov function, establish proper coupling strength. Make the system into matrix quadratic form, ultimately determine by quadratic plus or minus Leibniz discriminant method, determine the synchronous conditions. Lorenz system as a model, the rationality of this method was verified. |
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