科研之友
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摘要
We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Lienard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Lienard 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 Lienard systems. The results obtained are reminiscent of the ones for planar polynomial Lienard systems but the proofs are different.
- 出版日期2017-10-5
