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

• Integrability of a linear center perturbed by a fifth degree homogeneous polynomial 

  Chavarriga Soriano, Javier; Giné, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997)

  In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation ...

• 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 ...

• 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 ...