3 papers
math.DS2023
On the non-existence of isochronous centers in planar discontinuous differential systems
Ali Bakhshalizadeh, Changjian Liu, Alex C. Rezende
The determination of whether a center is isochronous or not is a well-known problem in the qualitative theory of planar systems. In this paper, we explore planar piecewise disconti…
math.DS2023
Limit cycles in refracted Hamiltonian systems with a straight switching line
Ali Bakhshalizadeh, Alex C. Rezende
This paper presents a criterion that provides an easy sufficient condition for a collection of line integrals to have the Chebyshev property. The condition is based on the function…
math.DS2012
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…