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 …

In this article, we study the continuous and discontinuous planar piecewise differential
systems formed only by linear centers separated by one or two parallel straight lines. When …

In this paper, we study bifurcation of limit cycles from the equator of piecewise polynomial
systems with no singular points at infinity. We develop a method for computing the Lyapunov …

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 investigate limit cycles induced by threshold nonlinearity of piecewise
linear (PWL) differential systems, which are node-focus type or node-center type with the …

The creation or destruction of a crossing limit cycle when a sliding segment changes its
stability, is known as pseudo-Hopf bifurcation. In this paper, under generic conditions, we …

This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems
with two zones separated by a straight line, Σ, and only one Σ-singularity of monodromic …

In this paper we study the maximum number N of limit cycles that can exhibit a planar
piecewise linear differential system formed by two pieces separated by a straight line. More …