BSB神经网络模型的动力学分析

Dynamical Analysis of the Brain-State-in-a-Box(BSB)Neural Models

在对称矩阵的基础上，对具有非对称权矩阵和具有一定的输入输出关系的一类ＢＳＢ（Ｂｒａｉｎ－Ｓｔａｔｅ－ｉｎ－ａ－Ｂｏｘ）神经网络动力学模型进行了稳定性分析，得到了超立方体Ｈ＿ｎ的端点都是平衡点的充分必要条件，超立方体Ｈ＿ｎ的端点都是稳定平衡点的充分条件，以及一定条件下，超立方体Ｈ＿ｎ上，ＢＳＢ模型的平衡点、稳定平衡点、不稳定平衡点的数量及分布。

On basis of symmetric weight matrices,the stability of the BSB neural networksdynamic model,with weight matrices that need not be symmetric and with certain inputs andoutputs relation,has been analyzed.We obtain the necessary and sufficient conditions thatthe extremes of the hypercube H_n are equilibrium points,and on a certain condition,thequantity and distribution of the equilibrium pointos,stable equilibrium points,unstable equi-librium points in the hypercube H_n.