EXISTENCE AND UNIQUENESS OF TRAVELING WAVES FOR A NEURAL-NETWORK

被引：197
|
作者：
ERMENTROUT, GB
MCLEOD, JB
机构：
[1] Department of Mathematics, University of Pittsburgh, Pittsburgh
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1993年 / 123卷
基金：
美国国家科学基金会;
关键词：
D O I：
10.1017/S030821050002583X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A one-dimensional scalar neural network with two stable steady states is analysed. It is shown that there exists a unique monotone travelling wave front which joins the two stable states. Some additional properties of the wave such as the direction of its velocity are discussed.
引用
收藏
页码：461 / 478
页数：18
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