Buffer phenomenon in neurodynamics
type: Item
instance of: scholarly article
title: Buffer phenomenon in neurodynamics
zbMATH Open document ID: 1276.34071
DOI: 10.1134/S1064562412020111
author: S. D. Glyzin
author: A. Yu. Kolesov
author: N. Kh. Rozov
published in: Doklady Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The authors consider a singularly perturbed scalar nonlinear differential-delay equation with two delays modeling the electrical activity of a neuron. This equation is of the type \[ \varepsilon{du\over dt}= u[(a+ 1) f(u(t-\varepsilon h))- a- by(u(t- 1))], \] where \(a\), \(b\), \(h\) are positive parameters, \(0<\varepsilon\ll 1\). They formulate conditions on the functions \(f\) and \(g\) such that \((*)\), for sufficiently small \(\varepsilon\), has any prescribed finite number of stable periodic solutions. This property is called buffer phenomenon.
reviewed by: Klaus R. Schneider
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34K26
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6106446
MaRDI profile type: Publication
cites work: Wave structures in ring-shaped systems of homogeneous neuron modules
cites work: Extremal dynamics of the generalized Hutchinson equation
full work available at URL: s1064562412020111
OpenAlex ID: W2053476841
Wikidata QID: Q59448446
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description: scientific article; zbMATH DE number 6106446