Multistability of neural networks with discontinuous activation function

被引：58
|
作者：
Huang, Gan [1 ]
Cao, Jinde [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2008年 / 13卷 / 10期
基金：
中国国家自然科学基金;
关键词：
neural networks; multilevel function; activation function; multistability;
D O I：
10.1016/j.cnsns.2007.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the multistability is studied for two-dimensional neural networks with multilevel activation functions. And it is showed that the system has n(2) isolated equilibrium points which are locally exponentially stable, where the activation function has n segments. Furthermore, evoked by periodic external input, n(2) periodic orbits which are locally exponentially attractive, can be found. And these results are extended to k-neuron networks, which is really enlarge the capacity of the associative memories. Examples and simulation results are used to illustrate the theory. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2279 / 2289
页数：11
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