Basic algebro-geometric concepts in the study of planar polynomial vector fields
type: Item
instance of: scholarly article
title: Basic algebro-geometric concepts in the study of planar polynomial vector fields
zbMATH Open document ID: 0889.34027
DOI: 10.5565/PUBLMAT_41197_16
author: Dana Schlomiuk
published in: Publicacions Matemàtiques
publication date: 1998-06-01T00:00:00Z
full work available at URL: https://eudml.org/doc/41293
review text: The author states some problems concerning limit cycles, algebraic invariant curves, and bifurcations for planar systems \[ x'=P(x,y),y'=Q(x,y), \] where \(P,Q\) are polynomials. Relations of these problems with the concept of intersection multiplicity of projective curves in the complex projective plane are described.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 1057646
zbMATH Keywords: limit cycles
zbMATH Keywords: algebraic invariant curves
zbMATH Keywords: bifurcations
reviewed by: Sergei Yu. Pilyugin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1057646