Universitat de Lleida
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.
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.
English
Center problem; Analytic integrability; Polynomial Liénard differential systems
Springer International Publishing
MINECO/PN2013-2016/MTM2014-53703-P
Versió postprint del document publicat a https://doi.org/10.1007/s12346-016-0202-3
Qualitative Theory Of Dynamical Systems, 2017, vol. 16, p. 119-126
(c) Springer International Publishing, 2017
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