Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model
type: Item
instance of: scholarly article
title: Multiple limit cycle bifurcations of the FitzHugh-Nagumo neuronal model
zbMATH Open document ID: 1247.34043
author: Valery A. Gaiko
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2011-10-27T00:00:00Z
review text: The paper deals with the global qualitative analysis of the well-known FitzHugh-Nagumo neuronal model. By studying limit cycle bifurcations and applying the Wintner-Perko termination principle for multiple limit cycles, the author states that the corresponding dynamical system has at most two limit cycles.
reviewed by: Alexander Grin
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 5964271
zbMATH Keywords: FitzHugh-Nagumo neuronal model
zbMATH Keywords: bifurcation
zbMATH Keywords: limit cycle
zbMATH Keywords: Wintner-Perko termination principle
MaRDI profile type: Publication
full work available at URL: j.na.2011.08.017
OpenAlex ID: W2051439117
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DOI: 10.1016/J.NA.2011.08.017
description: scientific article; zbMATH DE number 5964271