节点非线性耦合的复杂动态网络同步控制研究

Synchronization of Complex Dynamical Networks with Nonlinearly Coupled Nodes

文中研究节点状态非线性耦合的复杂动态网络的局部同步和全局同步的问题。不同于现有的这类网络的利用节点状态变量设计控制器进行同步控制的方法,提出了一种设计同步控制器的新方法,该方法只需利用网络节点输出变量构造控制器,使其达到同步,克服了现有方法利用节点状态变量设计控制器存在的不足,使控制器实现起来更加简单。利用Lyapunov方法给出这类复杂网络的同步准则,以Lorenz混沌映射作为复杂网络的节点进行数值仿真,研究表明,这种方法能够使节点状态非线性耦合的复杂动态网络达到同步,通过系统仿真,证明了文中所提方法的有效性。

It investigates the local and global synchronization of nonlinearly coupled complex dynamical networks. Unlike the existing syn- chronization methods,propose a new approach to design the synchronization controller. This method can only use the nodes outputs of a complex network to construct synchronization controllers and it overcomes the shortcomings of the existing method which uses the nodes state variables to design the controller. The controller proposed is much more easier to achieve. Furthermore, synchronization criteria is a- chieved for a complex network on the basis of the Lyapunov stability theory. Using the Lorenz system as a node of the network, studies have shown that the network can be synchronized under the proposed controller and numerical simulations are given to demonstrate the ef- fectiveness of the proposed method.