most citedPhase portraits for quadratic homogeneous polynomial vector fields on S^2

1 citations · 1 across the 2 of their papers we have counts for

collaborators
Showing math.DSShow all

2 papers · 1 filter

math.DS2008★ 1 cited

Phase portraits for quadratic homogeneous polynomial vector fields on S^2

Jaume Llibre, Claudio Pessoa

Let X be a homogeneous polynomial vector field of degree 2 on S^2. We show that if X has at least a non--hyperbolic singularity, then it has no limit cycles. We give necessary and…

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…