Quadratic systems with a unique finite rest point
type: Item
instance of: scholarly article
title: Quadratic systems with a unique finite rest point
zbMATH Open document ID: 0674.34027
DOI: 10.5565/PUBLMAT_32288_08
author: Jaume Llibre
author: B. Coll
author: Armengol Gasull
published in: Publicacions Matemàtiques
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41057
review text: The authors study phase portraits of plane quadratic systems \(\dot xP_ 2(x,y),\quad \dot y=Q_ 2(x,y)\) having a unique finite rest point. They show that there exist 111 possible phase portraits without limit cycles and that there are 13 portraits with exactly one limit cycle. In two cases they cannot determine the topological type of the system.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 4103491
zbMATH Keywords: phase portraits
zbMATH Keywords: plane quadratic systems
zbMATH Keywords: limit cycles
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4103491