Almost periodic solutions for Wilson-Cowan type model with time-varying delays
type: Item
instance of: scholarly article
title: Almost periodic solutions for Wilson-Cowan type model with time-varying delays
zbMATH Open document ID: 1264.34086
DOI: 10.1155/2013/683091
author: Shasha Xie
author: Zhenkun Huang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones.
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6175107
zbMATH Keywords: Banach contraction mapping principle
zbMATH Keywords: almost periodic solution
zbMATH Keywords: delay-based exponential stability
zbMATH Keywords: Lyapunov functionals
zbMATH Keywords: Wilson-Cowan model
Wikidata QID: Q58921729
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/683091
OpenAlex ID: W2003674333
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description: scientific article; zbMATH DE number 6175107