Dynamics of a hysteretic neuron model
type: Item
instance of: scholarly article
title: Dynamics of a hysteretic neuron model
zbMATH Open document ID: 1115.34070
author: Pingzhou Liu
author: K. Gopalsamy
published in: Nonlinear Analysis. Real World Applications
publication date: 2007-02-13T00:00:00Z
review text: A mathematical model of a single isolated artificial neuron with hysteresis is formulated by means of a neutral delay differential equation. The asymptotic and exponential stability of such model is investigated. Sufficient conditions for the exponential stability are obtained. In the absence of hysteresis, the model reduces to a known model of a single neuron.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 92C20
zbMATH DE Number: 5125053
zbMATH Keywords: hysterisis
zbMATH Keywords: exponential stability
reviewed by: Alexander O. Ignatyev
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2005.11.010
OpenAlex ID: W2046196635
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DOI: 10.1016/J.NONRWA.2005.11.010
description: scientific article; zbMATH DE number 5125053