Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\)
type: Item
instance of: scholarly article
title: Uniqueness of connecting orbits in the equation \(Y^{(3)}=Y^ 2-1\)
zbMATH Open document ID: 0633.34028
DOI: 10.1016/0022-247X(86)90110-1
author: Christopher K. McCord
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The first order system corresponding to the third order scalar equation \(y\prime''=y^ 2-1\) is known to have bounded solutions which in fact connect the two rest points of the system. By means of an elementary analysis it is shown in this paper that there is only one solution of this type.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 4029999
zbMATH Keywords: connecting orbits
zbMATH Keywords: first order system
zbMATH Keywords: third order scalar equation
zbMATH Keywords: bounded solutions
reviewed by: Bernd Aulbach
MaRDI profile type: Publication
cites work: Q4180600
cites work: Bifurcations and trajectories joining critical points
full work available at URL: 0022-247x(86)90110-1
OpenAlex ID: W2029587902
description: scientific article; zbMATH DE number 4029999