求解极限环的谱展开法

提出了一种求解自治非线性常微分方程周期解的方法－谱展开法，它直接把解形式上写成Ｆｏｕｒｉｅｒ级数，其频率和各谐波成份待定，而将原非线性微分方程问题变换成求解相应的非线性代数方程组，还以ａｖｎ ｄｅｒ Ｐｏｌ方程和神经元群平均场方程为例对该方法进行说明和讨论。     

Neural Wave Representation in Early Vision

The neural wave representation which describes spatiotemporal information in early vision is proposed in terms of extended Gabor functions in this paper. Its reasonability, completeness and uncertainty in spatiotemporal domains and their frequency domains were investigated. The ranges of these parameters in this representation were estimated on electrophysiological and psychophysical data. We derived the partial differential equations which the neural wave satisfied. The general significance of 3D neural wave representation has been explored.     

EXTENDED GABOR FUNCTION MODEL AND SIMULATION OF SOME CHARACTERISTIC CURVES OF RECEPTIVE FIELD

In this paper we propose a family of extended Gabor functions as weight functions of the primary information processing in the visual system. The orientation tuning curve, the length tuning curve and spatial frequency tuning characteristics of simple cells, complex cells and some hypercomplex cells were simulated by means of our model. The results calculated by this model coincide closely with the experimental data. It has been shown that the extended Gabor function model can reasonably describe the main properties of receptive fields several levels of the visual system.     

视皮层V1区简单细胞的稀疏编码策略

哺乳动物纹状皮层简单细胞的空间感受野在电生理实验中被描述为局部、具有朝向和带通性质的信号编码检测器，它针对图象产生电发放的输出活动呈现稀疏分布的形式，从检测图象的物理过程入手建立了一个基于超定完备基的简单细胞集群稀疏编码的计算模型，并进行了自然图象的编码表达。     

周期轨道:研究神经元动力学特性的一种新语言

一种新的非线性动力学分析方法已用于神经元系统的复杂性行为的研究．这种分析的概念的基础是将所观察到的神经元活动抽象成用非稳定周期轨道的分级所描述的动力学图．在哺乳动物脑的三个具有代表性的不同组织层次的数据集中可以精确辨识出非稳定周期轨道、非稳定周期轨道分析提供了一种解码、预测和控制这些神经元系统的新奇的可供选择的方法．     

广义Gabor函数模型和感受野某些特性曲线的模拟

本文提出用一族广义Gabor函数作为视觉系统初级信息加工的权函数,对视皮层的简单细胞、复杂细胞和某些超复杂细胞的取向调谐曲线、长度调谐曲线和空间频率调制曲线进行模拟计算,取得良好结果。本文认为广义Gabor函数模型能较好地描述视觉系统各级水平上感受野的主要性质。     

初级视觉的神经波表象

本文提出初级视觉中时空信息的神经波表象,这种表象以3D-Gabor函数作为表达式,研究了它的合理性,完备性,考察了实域和频域上的不确定性,讨论了它的正交性以及参数取值范围,推导出神经信息波应服从的波动方程,探讨了三维神经信息波表象的普遍意义。