Dimensional analysis on chaotic neural networks

被引：0

作者：

Ikeguchi, Tohru ^{[1
]}

Itoh, Susmu ^{[1
]}

Utsunomiya, Toshio ^{[1
]}

Aihara, Kazuyuki ^{[1
]}

机构：

[1] Science Univ of Tokyo, Noda, Japan

来源：

Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi) | 1990年 / 73卷 / 11期

关键词：

Mathematical Models - Characterization - Systems Science And Cybernetics - Brain Models;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We apply a dimensional analysis to a neural network model with chaotic dynamics, or a mathematical model of chaotic neural networks. First, Lyapunov spectra are examined to confirm existence of chaotic network behavior and to calculate the lyapunov dimension. Then, the correlation dimension is estimated in the following three cases: (1) reconstruction from single variable time (1) reconstruction from single variable time series, (2) observation in state subspaces and (3) observation of the macroscopic average activity. The results show good correlation dimension obtained by observation in state subspaces and the characteristics of the correlation dimension estimated by macroscopic observation.

引用

页码：89 / 98

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