摘要
本文应用平均原理，中心极限定理和大偏差原理从不同角度分析了Ｌｉｎｓｋｅｒ网络与其平均系统的偏离程度，并利用Ｌｉａｐｕｎｏｖ第二方法考虑了平均系统的吸引子；从而给出了Ｌｉｎｓｋｅｒ模拟结果的理论解释．
In this paper we analyse the amount of deviation between Linsker's network and its averaged system by means of the averaging principle,central limit theorem and large deviation principle,and consider the attractors of the averaged system through Liapunov's second method.Therefore,we explain Linsker's simulation results in mathematical theory. \ \
