Showing items related by title, author, creator and subject.

• Center problem for trigonometric Liénard systems 

  Gasull, Armengol; Giné, Jaume; Valls, Claudia (Elsevier, 2017)

  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 ...

• Center problem for systems with two monomial nonlinearities 

  Gasull i Embid, Armengol; Giné, Jaume; Torregrosa, Joan (American Institute of Mathematical Sciences, 2016)

  We study the center problem for planar systems with a linear center at the origin that in complex coordinates have a nonlinearity formed by the sum of two monomials. Our first result lists several centers inside this family. ...

• Integrability of Liénard systems with a weak saddle 

  Gasull i Embid, Armengol; Giné, Jaume (Springer International Publishing, 2017)

  We characterize the local analytic integrability of weak saddles for complex Lienard systems, x˙ = y−F(x), y˙ = ax, 0 = a ∈ C, with F analytic at 0 and F(0) = F (0) = 0. We prove that they are locally integrable at the ...