Center conditions and limit cycles for BiLienard systems

In this article we study the center problem for polynomial BiLienard systems of degree n. Computing the focal values and using Grobner bases we find the center conditions for such systems for n=6. We also establish a conjecture about the center conditions for polynomial BiLienard systems of arbi...

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Bibliographic Details

Published in:	Electronic Journal of Differential Equations
Main Author:	Jaume Gine
Format:	Article
Language:	English
Published:	Texas State University 2017-03-01
Subjects:	Center problem analytic integrability Grobner bases polynomial BiLienard differential systems decomposition in prime ideals
Online Access:	http://ejde.math.txstate.edu/Volumes/2017/86/abstr.html