对激励函数为非光滑的二阶Hopfield神经网络的周期解的存在唯一性问题进行讨论.得到了当每个输入函数是 以ω为周期时,该类神经网络存在唯一性ω周期解的一个充分判据.同时,也获得了该类网络的其余各解全局指数收 敛于该ω周期解的一个判据.作为特例,具有时滞的一阶连续型Hopfield神经网络的类似结果也被获得. This paper discusses the existence and uniqueness of the periodic solutions of second-order Hopfield neural networks with nonsmooth functions and obtains a sufficient and sufficient periodic solution of this type of neural networks when every input function is in ω period Criterion is obtained.At the same time, a criterion for the convergence of the global indices of the rest of the solutions to the ω-period solution is also obtained.As a special case, similar results for first-order continuous Hopfield neural networks with time delays are also obtained.