基于不连续间歇耦合的复杂动力网络的同步

Synchronization of Complex Dynamical Networks Based on Discontinuous and Intermittent Coupling

不连续脉冲动力系统的解空间相对于一般的连续或离散的动力系统更为复杂,其理论分析极具吸引力和挑战性。基于动力系统的脉冲控制理论和Lyapunov函数方法,给出了复杂动力网络的一个简单而又一般的同步化准则。主要特征是所考虑的网络动力节点仅在一系列不连续时刻存在耦合,进一步将所得结果应用于由混沌Duffing振子为动力节点所构成的一个具有邻近耦合结构的动力网络,仿真结果表明了所获结果的正确性。

This paper investigates the synchronization dynamics of complex dynamical networks based on discontinuous and intermittent coupling.A simple generic criterion is then derived for synchronization of complex dynamical networks.Compared with some existing literatures,a distinctive feature of this work is that the network nodes are only coupled at a series of discontinuous moments.Furthermore,the results are applied to a typical nearest neighbor coupled network composed of chaotic Duffing oscillators,and numerical simulations are carried out to verify and visualize the theoretical results.