Center problem for trigonometric Liénard systems

Gasull, Armengol; Giné, Jaume; Valls, Claudia

doi:https://doi.org/10.1016/j.jde.2017.05.008

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2017

Author

Gasull, Armengol

Giné, Jaume

Valls, Claudia

Suggested 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.

Abstract

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.

URI

http://hdl.handle.net/10459.1/62979

DOI

https://doi.org/10.1016/j.jde.2017.05.008

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Journal of Differential Equations, 2017, vol. 263, p. 3928-3942

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2017