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

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.