Center problem for trigonometric Liénard systems

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2017Suggested citation
Gasull, Armengol;
Giné, Jaume;
Valls, Claudia;
.
(2017)
.
Center problem for trigonometric Liénard systems.
Journal of Differential Equations, 2017, vol. 263, p. 3928-3942.
https://doi.org/10.1016/j.jde.2017.05.008.
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We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. Our results are also applied to some particular subfamilies of planar trigonometric Liénard systems. The results obtained are reminiscent of the ones for planar polynomial Liénard systems but the proofs are different.
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Journal of Differential Equations, 2017, vol. 263, p. 3928-3942European research projects
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