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

Adnène Arbi

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: 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.

Keywords: Cellular neural networks; Traveling waves solutions; Exponential stability; Weighted energy method; Taylor formula (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007906

DOI: 10.1016/j.chaos.2021.111436

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