Analytic reducibility of nondegenerate centers: Cherkas systems

In this paper we study the center problem for polynomial differential systems and we prove that any center of an analytic differential system is analytically reducible. We also study the centers for the Cherkas polynomial differential systems \[ \dot{x}=y, \qquad \dot{y}=P_0(x)+P_1(x)y+P_2(x)y^2, \]...

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Bibliographic Details
Main Authors: Jaume Giné, Jaume Llibre
Format: Article
Language:English
Published: University of Szeged 2016-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4425