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

• 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 ...

• Highest weak focus order for trigonometric Liénard equations 

  Gasull, Armengol; Giné, Jaume; Valls, Claudia (Springer, 2020)

  Given a planar analytic differential equation with a critical point which is a weak focus of order k, it is well known that at most k limit cycles can bifurcate from it. Moreover, in case of analytic Liénard differential ...

• Nondegenerate centers for Abel polynomial differential equations of second kind 

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

  In this paper we study the center problem for Abel polynomial differential equations of second kind. Computing the focal values and using modular arithmetics and Gröbner bases we find the center conditions for such systems ...