17 citations · 30 across the 6 of their papers we have counts for
6 papers
Dynamics of a generalized Rayleigh system
Maíra Duran Baldissera, Jaume Llibre, Regilene Oliveira
Consider the first order differential system given by \begin{equation*} \begin{array}{l} \dot{x}= y, \qquad \dot{y}= -x+a(1-y^{2n})y, \end{array} \end{equation*} where is a rea…
Limit cycles for two classes of control piecewise linear differential systems
J. Llibre, R. D. S. Oliveira, C. A. B. Rodrigues
We study the bifurcation of limit cycles from the periodic orbits of --dimensional linear centers when they are perturbed inside classes of continuous and dis…
The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (A,B)
Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
The goal is to make a global study of the family QsnSN of all real quadratic polynomial differential systems which have a finite semi-elemental saddle-node and an infinite saddle-n…
Global phase portraits of quadratic polynomial differential systems with a semi-elemental triple node
Joan C. Artés, Alex C. Rezende, Regilene D. S. Oliveira
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understandin…
Global phase portrait of a SIS model
Regilene D. S. Oliveira, Alex C. Rezende
In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a giv…
On the structural stability of planar quasihomogeneous polynomial vector fields
Regilene D. S. Oliveira, Yulin Zhao
Denote by the space of all planar -quasihomogeneous vector fields of degree endowed with the coefficient topology. In this paper we characterize the set $Ω_{pq…