Center conditions and limit cycles for BiLiénard systems
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Date
2017-03-27
Authors
Gine, Jaume
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study the center problem for polynomial BiLiénard systems of degree n. Computing the focal values and using Gröbner bases we find the center conditions for such systems for n=6. We also establish a conjecture about the center conditions for polynomial BiLiénard systems of arbitrary degree.
Description
Keywords
Center problem, Analytic integrability, Gröbner bases, Polynomial BiLiénard differential systems, Decomposition in prime ideals
Citation
Giné, J. (2017). Center conditions and limit cycles for BiLiénard systems. <i>Electronic Journal of Differential Equations, 2017</i>(86), pp. 1-5.
Rights
Attribution 4.0 International