Seminari EDMA (Grup de Recerca d'Equacions Diferencials, Modelització i Aplicacions - Dpt. IMAE - UdG):

Parlarà: Mauricio Leonardo Ascencio Ojeda (Departamento de Matematica, Universidad del Bio-Bio, Chile)

Resum:  This work concerns with the description of the all possibleglobal dynamics on the Poincare disc associated the planar semi-homogeneous polynomial vector field given by 

         X = ((x +y)y; x^3+B x^2 y+C x y^2+D y^3) where B-C+D \neq 1.

More precisely, we classify the local dynamics of the equilibrium points at the

finite and at the infinite, and then we are able to characterize the
separatrices in order to describe the global phase portrait.