The aim of this paper is to deal with the problem of limit cycles for a general planar
piecewise linear differential system of saddle–focus type. By using the Liénard-like …

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

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 …

The existence and number of limit cycles in a class of general planar piecewise linear
systems constituted by two linear subsystems with saddle–saddle dynamics are …

We investigate the existence and number of limit cycles in a class of general planar
piecewise linear systems constituted by two linear subsystems with node–node dynamics …

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 …

In this paper, we provide a lower bound for the maximum number of limit cycles of planar
discontinuous piecewise linear differential systems defined in two half-planes separated by …

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 …

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 …