Periodic Solution Problems for a Class of Hebbian-Type Networks with Time-Varying Delays

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-10-27 DOI:10.3390/sym15111985

Mei Xu, Honghui Yin, Bo Du

引用次数: 0

Abstract

By using Gronwall’s inequality and coincidence degree theory, the sufficient conditions of the globally exponential stability and existence are given for a Hebbian-type network with time-varying delays. The periodic behavior phenomenon is one of the hot topics in network systems research, from which we can discover the symmetric characteristics of certain neurons. The main theorems in the present paper are illustrated using a numerical example.

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一类时变时滞hebbian型网络的周期解问题

利用Gronwall不等式和重合度理论，给出了具有时变时滞的hebbian型网络全局指数稳定性和存在性的充分条件。周期性行为现象是网络系统研究的热点之一，从中我们可以发现某些神经元的对称性特征。用一个数值例子说明了本文的主要定理。

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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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.