Jaume Gine
Abstract:
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 email: gine@matematica.udl.cat |
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