On the existence and global bifurcation of periodic solutions to planar differential delay equations
type: Item
instance of: scholarly article
title: On the existence and global bifurcation of periodic solutions to planar differential delay equations
zbMATH Open document ID: 0849.34053
author: Margarete Z. Baptistini
author: Plácido Zoega Táboas
published in: Journal of Differential Equations
publication date: 1996-11-14T00:00:00Z
review text: Planar differential delay equations are studied. Existence of an infinite sequence of local Hopf bifurcations of the periodic solutions of such equations is proved. The main global result is in proving the existence of an unbounded continuum of slowly spiralling periodic solutions. Some exponential estimates on the growth of the solutions of the planar equation are given as well.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 885507
zbMATH Keywords: planar differential delay equations
zbMATH Keywords: infinite sequence of local Hopf bifurcations
zbMATH Keywords: periodic solutions
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0075
OpenAlex ID: W2047650006
DOI: 10.1006/JDEQ.1996.0075
description: scientific article; zbMATH DE number 885507