Spatial dynamics of multilayer cellular neural networks
type: Item
instance of: scholarly article
title: Spatial dynamics of multilayer cellular neural networks
zbMATH Open document ID: 1388.34010
author: Shi-Liang Wu
author: Cheng-Hsiung Hsu
published in: Journal of Nonlinear Science
publication date: 2018-03-01T00:00:00Z
review text: In this paper, multilayer cellular neural networks are studied. Spatial dynamics of the proposed models is investigated. The authors construct front-like solutions of such nets by combining the leftward and righward traveling wave fronts with positive speeds. First, several comparison theorems are proposed for the model under consideration and the corresponding linear system. Then, based on these theorems appropriate sub-solutions are constructed and upper estimates for the existence of entire solutions are obtained. Asymptotic properties of front-like entire solutions are presented as well.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 34A33
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6845740
zbMATH Keywords: cellular neural networks
zbMATH Keywords: traveling wave solutions
zbMATH Keywords: multilayer cellular neural networks
zbMATH Keywords: entire solution
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: s00332-017-9398-x
OpenAlex ID: W2684578716
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DOI: 10.1007/S00332-017-9398-X
description: scientific article; zbMATH DE number 6845740