It is known that the Melnikov function method is equivalent to the averaging method for
studying the number of limit cycles of planar analytic (or C∞) near-Hamiltonian differential …

This paper addresses the nonlinear analysis of PWS dynamical systems with two transverse
switching boundaries through a real case study: a cascade of two buck converters …

A complete analysis of the limit cycle bifurcation from infinity in 3D Relay systems, which
belong to the class of three-dimensional symmetric discontinuous piecewise linear systems …

The main purpose of this paper is to analyze the Hopf-like bifurcations in 3D piecewise
linear systems. Such bifurcations are characterized by the birth of a piecewise smooth limit …

Poincaré compactification is very important to investigate the dynamics of vector fields in the
neighborhood of the infinity, which is the main concern on the escape of particles to infinity …

We consider continuous piecewise linear systems in R 3 with two zones under the
assumption of having a linear center in the invariant manifold of the point at infinity. A …

The concept of Sustainable Development has given rise to multiple interpretations. In this
article, it is proposed that Sustainable Development should be interpreted as the capacity of …

The phase portraits of the planar linear differential systems are very well known. This is not
the case for the phase portraits of the planar continuous piecewise linear differential …

In 1958 started the study of the families of algebraic limit cycles in the class of planar
quadratic polynomial differential systems. In the present we known one family of algebraic …

This thesis is based on three subjects studied. In the first subject, we study limit cycles for a
class of discontinuous piecewise differential systems, where we deal with limit cycles …