Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term

被引：27
作者：
Arbi, Adnene [1 ]
机构：
[1] Univ Carthage, Lab Engn Math LR01ES13, Tunisia Polytech Sch, BP 743 2078, La Marsa, Tunisia
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 152卷
关键词：
Cellular neural networks; Traveling waves solutions; Exponential stability; Weighted energy method; Taylor formula; TIME-VARYING DELAYS; NICHOLSONS BLOWFLIES EQUATION; SPACE SCALES; STABILITY; MODEL;
D O I：
10.1016/j.chaos.2021.111436
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, the exponential stability of monotone traveling wave solutions for a class of nonlinear delayed dynamical neural networks with leakage term and distributed delays is investigated. The outcomes of this study are new and has obtained by applying of Ikeharas theorem, the weighted energy method, Taylor formula, comparison principle and the first integral mean value theorem. In addition, the leakage term is considered for the first time in this work to the dynamical model of cellular neural networks. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：7
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