中文摘要：

Hopfield神经网络系统的记忆特性表现于系统稳定平衡点的分布及其吸引域的形状和大小。本研究主要讨论分析含2个神经元Hopfield网络系统的记忆特性。首先,求得在不同参数值下系统平衡点的分布情况和稳定性;其次,基于数值方法,求得各个稳定平衡点的吸引域。研究结果表明：系统可以存在多个稳定平衡点共存现象,在某些情况下,这些稳定平衡点的吸引域的形状和大小会随着参数值的变化而改变。

英文摘要：

The memory characteristics of Hopfield neural network are related to the shape of the attractive basin of the stable equilibrium points of the system. This paper studies the memory characteristics of two-neuron Hopfield neural network. Firstly,the distribution and stability of the equilibrium points are obtained with different system parameter values. Then,on the basis of numerical method,the attractive basin of stable equilibrium points is obtained. It is indicated there can be multiple stable equilibrium points,and the shape of the attractive basin of those stable equilibrium points varies with the variation of system parameters.