4 citations · 4 across the 6 of their papers we have counts for
7 papers
Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
Lucas Queiroz Arakaki, Luiz F. S. Gouveia, Douglas D. Novaes
We investigate the maximal number of normally hyperbolic limit tori in three-dimensional polynomial vector fields of degree , which extends the classical notion of Hilb…
On the limit cycles of a quartic model for evolutionary stable strategies
Armengol Gasull, Luiz F. S. Gouveia, Paulo Santana
This paper studies the number of centers and limit cycles of the family of planar quartic polynomial vector fields that has the invariant algebraic curve The…
New lower bound for the Hilbert number in low degree Kolmogorov systems
Yagor Romano Carvalho, Leonardo P. C. Da Cruz, Luiz F. S. Gouveia
Our main goal in this paper is to study the number of small-amplitude isolated periodic orbits, so-called limit cycles, surrounding only one equilibrium point a class of polynomial…
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…
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…