神经元网络奇怪吸引子的计算机模拟

为模拟神经元网络的混沌现象，阐述了相空间重构技术，介绍了由一维可观察量计算系统的最大Lyapunov指数和关联维数的方法。利用Lyapunov指数作判据，构造了3层反馈神经元网络的奇怪吸引子，分析了奇怪吸引子的运动特征并计算了奇怪吸引子的关联维数。研究表明混沌神经元网络具有复杂的动力学特征，同时存在各种吸引子，不仅有不动点、极限环、环面，而且有奇怪吸引子。

COMPUTER SIMULATION FOR THE STRANGE ATTRACTORS OF THE NEURAL NETWORK

In order to simulate the chaos phenomenon of the neural network, the phase space reconstruction technique is expounded, and the method of determining the largest Lyapunov exponent and the correlation dimension of the system from a time series is introduced. By utilizing the Lyapunov exponent as criterion, the strange attractors of the three-layer feedback neural network are constructed, the activity characteristics of the strange attractor are analyzed, and the correlation dimensions of the strange attractors are calculated. The results show that the chaos neural network has the complex dynamic characteristics, while it has all kinds of attractors, not only the fixed point,the limit cycle, and the tori, but also the strange attractors.