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

页码：461 / 478

页数：18

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