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

• Centers for the Kukles homogeneous systems with odd degree 

  Giné, Jaume; Llibre, Jaume; Valls, Claudia (London Mathematical Society, 2015)

  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 ...

• Center cyclicity of a family of quartic polynomial differential system 

  García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (Springer, 2016-09-01)

  In this paper we study the cyclicity of the centers of the quartic polynomial family written in complex notation as z = i z + z z (A z^2 + B z z + C z^2 ), where A,B,C. We give an upper bound for the cyclicity of any ...

• Centers and isochronous centers for generalized quintic systems 

  Giné, Jaume; Llibre, Jaume; Valls, Claudia (Elsevier, 2015)

  In this paper we classify the centers and the isochronous centers of certain polynomial differential systems in R2 of degree d≥5 odd that in complex notation are ż=(λ+i)z(zz̄)d−52(Az5+Bz4z̄+Cz3z̄2+Dz2z̄3+Ezz̄4+Fz̄5), ...