4 papers · 1 filter
Holomorphic slow-fast systems
Gabriel Rondón, Paulo R. da Silva, Luiz F. S. Gouveia
In this paper, we are concerned with studying the existence of invariant complex manifolds of two-dimensional holomorphic systems. From the geometric singular perturbation theory w…
Slow-fast normal forms arising from piecewise smooth vector fields
Otavio Henrique Perez, Gabriel Rondón, Paulo Ricardo da Silva
We studied piecewise smooth differential systems of the form where $F: \ma…
Piecewise Smooth Holomorphic Systems
L. F. S. Gouveia, Gabriel Rondón, P. R. da Silva
The normal forms associated with holomorphic systems are well known in the literature. In this paper we are concerned about studying the piecewise smooth holomorphic systems (PWHS)…
On Planar Holomorphic Systems
L. F. S. Gouveia, G. Rondón, P. R. da Silva
Planar holomorphic systems , are those that and for some holomorphic function . They have i…