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 arbitrary degree.
Submitted January 18, 2016. Published March 27, 2017.
Math Subject Classifications: 34C05, 37C10.
Key Words: Center problem; analytic integrability; Grobner bases; polynomial BiLienard differential systems; decomposition in prime ideals.
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| Jaume Giné |
Departament de Matemática
Inspires Research Centre
Universitat de Lleida, Avda. Jaume II, 69
25001 Lleida, Catalonia, Spain
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