In this paper, we investigate the existence of limit cycles for the discontinuous planar
piecewise linear systems with three zones separated by two parallel straight lines. Based on …

In this paper we provide a lower bound for the maximum number of crossing limit cycles of
some class of planar discontinuous piecewise linear differential systems formed by centers …

In this paper, we study the existence of limit cycles of planar piecewise linear Hamiltonian
systems without equilibrium points. Firstly, we prove that if these systems are separated by a …

We consider a general 3-dimensional Lotka-Volterra system with a rational first integral of
degree two of the form H= xi yj zk. The restriction of this Lotka-Volterra system to each …

The extension of the 16th Hilbert problem to discontinuous piecewise linear differential
systems asks for an upper bound for the maximum number of crossing limit cycles that such …

Due to their applications to many physical phenomena during these last decades the
interest for studying the discontinuous piecewise differential systems has increased strongly …

The objective of this paper is to study the sliding bifurcation in a planar piecewise smooth
system with an elliptic switching curve. Some new phenomena are observed, such as a …

The main goal of this paper is to provide the maximum number of crossing limit cycles of two
different families of discontinuous piecewise linear differential systems. More precisely we …

In planar piecewise differential systems it is known that when the discontinuity curve is a
straight line and both differential systems are linear centers, these piecewise differential …

The study of discontinuous piecewise differential systems has attracted increasing attention
in recent decades as a result of their applications to a variety of physical phenomena. The …