离散中立型网络非零稳态解的存在性与稳定性

2008 Fourth International Conference on Natural Computation Pub Date : 2008-10-18 DOI:10.1109/ICNC.2008.24

Guang Zhang, Yunling Luo, Liang Bai

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引用次数: 0

摘要

本文建立了一个神经网络模型。利用临界点理论、Lusternik-Schnirelmann范畴理论和线性化技术，研究了其稳态方程非零解对的存在性和非零解的局部渐近稳定性。类似的方法也可用于更一般的神经网络和耦合映射格系统。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence and Stability of Non-zero Steady State Solutions for Discrete Neutral Networks

In this paper, a neural networks model is established. The existence of non-zero solution pairs for its steady state equation and the local asymptotically stability of non-zero solutions are studied by using the critical point theory, Lusternik-Schnirelmann category theory, and the linearization technology. The similar method can be also used for the more general neural networks and the coupled map lattice system.

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2008 Fourth International Conference on Natural Computation

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