Center problem for trigonometric Liénard systems

Armengol Gasull, Jaume Giné, Claudia Valls

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5 Citations (Scopus)

Abstract

© 2017 Elsevier Inc. 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.
Original languageEnglish
Pages (from-to)3928-3942
JournalJournal of Differential Equations
Volume263
Issue number7
DOIs
Publication statusPublished - 5 Oct 2017

Keywords

  • Center problem
  • Trigonometric Liénard equation
  • Trigonometric polynomial

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    Gasull, A., Giné, J., & Valls, C. (2017). Center problem for trigonometric Liénard systems. Journal of Differential Equations, 263(7), 3928-3942. https://doi.org/10.1016/j.jde.2017.05.008