Center conditions and limits cycles for bilienard systems

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Issue date
2017Suggested citation
Giné, Jaume;
.
(2017)
.
Center conditions and limits cycles for bilienard systems.
Electronic Journal of Differential Equations, 2017, vol. 2017, núm. 86, p. 1-5.
http://hdl.handle.net/10459.1/59516.
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In this article we study the center problem for polynomial BiLiénard
systems of degree n. Computing the focal values and using Gröbner bases we
end 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.