具有脉冲耦合复杂时滞动力网络的同步  

SYNCHRONIZATION IN COMPLEX DELAYED DYNAMICALNETWORKS WITH IMPULSIVE COUPLING

作　　者：张华[1,2] 颜青[1] 吴泉军[3] 周进[2] 

机构地区：[1]铜仁学院数学与计算机科学系,铜仁554300 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]上海电力学院数理学院,上海200090

出　　处：《动力学与控制学报》2011年第4期348-351,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金项目(10972129和10832006);教育部博士点基金(200802800015);上海市教委科技创新项目(10ZZ61);上海市重点学科建设项目(S30106);铜仁学院科研启动基金项目(TR051;TS10016)资助~~

摘　　要：考虑了一个具有脉冲耦合的复杂时滞动力网络的同步问题.基于脉冲时滞动力系统扩展的Halanay不等式,给出了网络同步的一个充分条件.所获结果表明,即使网络节点之间仅在一些离散时刻存在瞬时连接,网络仍然能够达到同步.进一步将所得结果应用于一个由混沌FHN神经元振子为动力节点所构成的一个无标度的动力网络,数值仿真结果表明了理论结果的正确性.This paper considered the synchronization problem in a complex delayed dynamical network with impulsive coupling. A sufficient condition for ensuring network synchronization was derived analytically based on extended Halanay inequality on delayed dynamical systems with impulse. It is shown that such a complex dynamical network can always achieve synchronization even when there exist instantaneous connections among the nodes at a series of instants. Furthermore, the results were applied to a typical scale -free （SF） complex networks consisting of coupled chaotic FHN neuron oscillators, and numerical simulations were carried out to verify and also visualize the theoretical results.

关 键 词：复杂时滞动力网络 脉冲耦合 同步 混沌FHN振子 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]