Center problem for trigonometric Liénard systems
MetadataShow full item record
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.
Is part ofJournal of Differential Equations, 2017, vol. 263, p. 3928-3942
The following license files are associated with this item: