The homoclinic orbits in the Liénard plane
type: Item
instance of: scholarly article
title: The homoclinic orbits in the Liénard plane
zbMATH Open document ID: 0824.34050
DOI: 10.1016/S0022-247X(85)71118-3
author: Changming Ding
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-11-09T00:00:00Z
review text: In reply to a question, posed by Roberto Conti, concerning the stability properties of the origin to a pseudolinear system in \(\mathbb{R}^ 2\), the situation is clarified for the well-known Liénard system. The notion of the maximal elliptic sector is shown to play an important role with respect to a zero solution to be a positive global (weak) attractor. The sector consists of the origin and homoclinic orbits, whence the title.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D45
zbMATH DE Number: 765147
zbMATH Keywords: stability
zbMATH Keywords: pseudolinear system
zbMATH Keywords: Liénard system
zbMATH Keywords: maximal elliptic sector
zbMATH Keywords: attractor
zbMATH Keywords: homoclinic orbits
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 765147