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math.DS2009
On the centers of the weight-homogeneous polynomial vector fields on the plane
Jaume Llibre, Claudio Pessoa
We classify all the centers of a planar weight-homogeneous polynomial vector field of weight degree 1, 2, 3 and 4.
math.DS2008
Bifurcations in a class of polycycles involving two saddle-nodes on a Mobius band
Claudio Pessoa, Jorge Sotomayor
In this paper we study the bifurcations of a class of polycycles, called lips, occurring in generic three-parameter smooth families of vector fields on a Möbius band. The lips cons…