Center conditions and limits cycles for bilienard systems

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2017
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Giné, JaumeGiné, Jaume - ORCID ID
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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.
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Electronic Journal of Differential Equations, 2017, vol. 2017, núm. 86, p. 1-5