2 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…