Showing math.DSShow all
2 papers · 1 filter
math.DS2026
Generalized upper principal part of real planar polynomial vector fields
Thaís Maria Dalbelo, Regilene Oliveira, Otavio Henrique Perez
The goal of this paper is to generalize recent results about the topological classification of the dynamics of a real planar polynomial vector field near infinity. Given a polynomi…
math.DS2023
Topological equivalence in the infinity of a planar vector field and its principal part defined through Newton polytope
Thais Maria Dalbelo, Regilene Oliveira, Otavio Henrique Perez
Given a planar polynomial vector field with a fixed Newton polytope , we prove (under some non degeneracy conditions) that the monomials associated to the upper bo…