On the centers of the weight-homogeneous polynomial vector fields on the plane

2009/01/30 by Llibre, Jaume, Pessoa, Claudio
#34C35 #34D30 #58F09 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0901.4971

Abstract

We classify all the centers of a planar weight-homogeneous polynomial vector field of weight degree 1, 2, 3 and 4.

Related

• Centers of quasi-homogeneous polynomial planar systems
• Centers and invariant straight lines of planar real polynomial vector fields and its configurations
• On the Center Problem for Ordinary Differential Equations
• Classification of Complex Polynomial Vector Fields in One Complex Variable
• Planar Semi-quasi Homogeneous Polynomial differential systems with a given degree