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Center Conditions for Polynomial Liénard Systems

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Abstract

In this paper we study the center problem for polynomial Liénard systems of degree n with damping of degree n. Computing the focal values we find the center conditions for such systems for \(n=5\) and using modular arithmetics and Gröbner bases for \(n=6\). We also give some center conditions for polynomial Liénard systems of degree n with damping of degree n.

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Acknowledgments

The first author is partially supported by a MINECO/ FEDER Grant Number MTM2014-53703-P and an AGAUR (Generalitat de Catalunya) Grant Number 2014SGR 1204.

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  1. Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001, Lleida, Catalonia, Spain

    Jaume Giné

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  1. Jaume Giné
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Correspondence to Jaume Giné.

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Giné, J. Center Conditions for Polynomial Liénard Systems. Qual. Theory Dyn. Syst. 16, 119–126 (2017). https://doi.org/10.1007/s12346-016-0202-3

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  • DOI: https://doi.org/10.1007/s12346-016-0202-3

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