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 ...

• Center problem in the center manifold for quadratic differential systems in R^3 

  Giné, Jaume; Valls, Claudia (Elsevier, 2016)

  Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3. To obtain ...

• 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 ...