Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree
type: Item
instance of: scholarly article
title: Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree
zbMATH Open document ID: 1230.37028
author: Jaume Llibre
author: Claudia Valls
published in: Advances in Mathematics
publication date: 2011-04-20T00:00:00Z
review text: For a particular class of polynomial dynamical systems in the plane, the authors answer the question of when exactly the origin is a center and when it is an isochronous one. In this class of systems the degrees of the polynomials are unbounded. The motivation for the problem is to give a unified treatment for various special cases dealt with in the literature.
reviewed by: Dieter Erle
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 5880831
zbMATH Keywords: center
zbMATH Keywords: isochronicity
zbMATH Keywords: polynomial differential equation
zbMATH Keywords: Abel differential equation
zbMATH Keywords: Poincaré-Lyapunov constants
zbMATH Keywords: center space
zbMATH Keywords: algebraic set
MaRDI profile type: Publication
full work available at URL: j.aim.2011.02.003
OpenAlex ID: W2090727745
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DOI: 10.1016/J.AIM.2011.02.003
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description: scientific article; zbMATH DE number 5880831