【作者】 李鑫滨； 王腊梅； 刘仙；

【Author】 LI Xinbin,WANG Lamei,LIU Xian Key Lab of Industrial Computer Control Engineering of Hebei Province,Yanshan University,Qinhuangdao 066004,P.R.China

【机构】 燕山大学电气工程学院工业计算机控制工程河北省重点实验室；

【摘要】 VanderPol振子是力学、物理学和电子学中典型的数学模型,对其参数的调整可以用来模拟实际中的各类非线性动力系统。本文研究了一类由VanderPol振子组成的动态复杂网络的同步问题。基于Lyapunov方法,分别给出了单个VanderPol振子以及由N个VanderPol振子组成的动态复杂网络同步的充分条件。最后通过仿真电路图验证了所得到条件的有效性。更多还原

【Abstract】 Van der pol function is a typical mathematical model of mechanics,physics and electronics.The function can simulate many kinds of nonlinear dynamical system in practical systems by adjusting the parameter.In this paper,we investigate the synchronization of a class of dynamical complex network which is composed of Van der pol oscillators.Based on the Lyapunov method,some sufficient conditions about single Van der Pol function and a network which is formed by N Van der Pol oscillators are established to guarantee global synchronization of dynamical networks with complex topology.Finally numerical examples are provided to demonstrate the effectiveness of the proposed results.更多还原