Discontinuous piecewise linear systems with two zones are considered. A general canonical
form that includes all the possible configurations in planar linear systems is introduced and …

This paper deals with the question of the determinacy of the maximum number of limit cycles
of some classes of planar discontinuous piecewise linear differential systems defined in two …

For many physical systems the transition from a stationary solution to sustained small
amplitude oscillations corresponds to a Hopf bifurcation. For systems involving impacts …

We study the number of limit cycles bifurcating from a piecewise quadratic system. All the
differential systems considered are piecewise in two zones separated by a straight line. We …

The existence of a uniform upper bound for the maximum number of limit cycles of planar
piecewise linear differential systems with two zones separated by a straight line has been …

In this paper we deal with planar piecewise linear differential systems defined in two zones.
We consider the case when the two linear zones are angular sectors of angles α and 2 π− α …

This Letter outlines 20 geometric mechanisms by which limit cycles are created locally in two-
dimensional piecewise-smooth systems of ODEs. These include boundary equilibrium …

We study the family of piecewise linear differential systems in the plane with two pieces
separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number …

Recently Braga and Mello conjectured that for a given n∈ ℕ there is a piecewise linear
system with two zones in the plane with exactly n limit cycles. In this paper, we prove a result …

In this paper, we are interested in providing lower estimations for the maximum number of
limit cycles H (n) that planar piecewise linear differential systems with two zones separated …