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

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.

Automated summary

This study investigates the exponential stability of monotone traveling wave solutions for a class of nonlinear delayed dynamical neural networks with leakage term and distributed delays. The new outcomes are obtained by applying Ikeharas theorem, the weighted energy method, Taylor formula, comparison principle, and the first integral mean value theorem. Additionally, the leakage term is considered for the first time in this work for the dynamical model of cellular neural networks.