2 citations · 4 across the 2 of their papers we have counts for
2 papers
math.DS2024★ 2 cited
On the stability of hybrid polycycles
Paulo Santana, Leonardo Pereira Serantola
In this paper we provide the stability of generic polycycles of hybrid planar vector fields, extending previous known results in the literature. The polycycles considered here may…
math.DS2023★ 2 cited
On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields
Paulo Santana
It is known that non-hyperbolic limit cycles are structurally unstable in the set of planar smooth and analytical vector fields. In the polynomial case, it is known only that limit…