Numerical bifurcation analysis of delay differential equations
type: Item
instance of: scholarly article
title: Numerical bifurcation analysis of delay differential equations
zbMATH Open document ID: 0970.65090
DOI: 10.1016/S0377-0427(00)00472-6
author: Koen Engelborghs
author: Tatyana Luzyanina
author: Dirk Roose
published in: Journal of Computational and Applied Mathematics
publication date: 2001-02-18T00:00:00Z
review text: The authors outline numerical methods for the computation and stability analysis of steady-state solutions and periodic solutions of systems of delay differential equations with several constant delays. These methods can be used in a continuation procedure to follow branches of solutions, to determine their stability and to locate bifurcation points. The authors also discussed some open problems and new difficulties for delay differential equations of neutral type.
reviewed by: R. S. Dahiya
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1566016
zbMATH Keywords: stability
zbMATH Keywords: periodic solutions
zbMATH Keywords: systems of delay differential equations
zbMATH Keywords: bifurcation
zbMATH Keywords: neutral type
describes a project that uses: DDE-BIFTOOL
describes a project that uses: PDDE-CONT
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1566016