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

• Centers for the Kukles homogeneous systems with even degree 

  Giné, Jaume; Llibre, Jaume; Valls, Claudia (Shanghai Normal University & Wilmington Scientific Publisher, 2017)

  For the polynomial differential system x˙=−y, y˙=x+Qn(x,y), where Qn(x,y) is a homogeneous polynomial of degree n there are the following two conjectures done in 1999. (1) Is it true that the previous system for n≥2 has a ...

• Chiellini Hamiltonian Liénard differential systems 

  Giné, Jaume; Llibre, Jaume; Valls, Claudia (Texas State University, 2019)

  We characterize the centers of the Chiellini Hamiltonian Li´enard second-order differential equations x 0 = y, y 0 = −f(x)y − g(x) where g(x) = f(x)(k − α(1 + α) R f(x)dx) with α, k ∈ R. Moreover we study the ...

• 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 ...