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Title:
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Center conditions and limits cycles for bilienard systems
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Author:
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Giné, Jaume
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Notes:
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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.
The author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. |
Subject(s):
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-Center problem -Analytic integrability -Gröbner bases -Polynomial BiLiénard diferential systems -Decomposition in prime ideals |
Rights:
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(c) Texas State University, 2017
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Document type:
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article publishedVersion |
Published by:
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Texas State University
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