Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3
type: Item
instance of: scholarly article
title: Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3
zbMATH Open document ID: 1124.34015
author: Laurent Cairó
author: Jaume Llibre
published in: Journal of Mathematical Analysis and Applications
publication date: 2007-04-26T00:00:00Z
full work available at URL: http://ddd.uab.cat/record/221041
review text: All planar polynomial systems \[ \dot{\mathbf x}={\mathbf P}({\mathbf x}), \quad {\mathbf x}\in{\mathbb C}^2 \] of weight-homogeneous degree three are classified into six types. Among them, all systems having a polynomial first integral are selected.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 5146740
zbMATH Keywords: polynomial first integral
zbMATH Keywords: weight-homogeneous polynomial system
zbMATH Keywords: Kowalevskaya exponents
reviewed by: Iliya D. Iliev
MaRDI profile type: Publication
OpenAlex ID: W1968263269
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DOI: 10.1016/J.JMAA.2006.09.066
description: scientific article; zbMATH DE number 5146740