Center conditions for a lopsided quintic polynomial vector field
type: Item
instance of: scholarly article
title: Center conditions for a lopsided quintic polynomial vector field
zbMATH Open document ID: 1050.34035
DOI: 10.1007/BF02969410
author: Roland Pons
author: Nazim Salih
published in: Qualitative Theory of Dynamical Systems
publication date: 2004-06-09T00:00:00Z
review text: The authors determine necessary and sufficient conditions for the polynomial vector field \[ X= -x{\partial\over\partial y}+ y{\partial\over\partial x}+ \sum_{i+j=5} a_{ij} x^i y^j{\partial\over\partial x} \] and its corresponding differential system \[ {dx\over dt}= y+\sum_{i+j=5} a_{ij} x^i y^j,\quad {dy\over dt}=-x, \] to have the origin as a center.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 2071096
zbMATH Keywords: vector field
zbMATH Keywords: center
zbMATH Keywords: return map
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2071096