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 investigate the limit cycles of planar piecewise linear differential systems
with two zones separated by a straight line. It is well known that when these systems are …

Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems
with two zones separated by a straight line, the focus–saddle bifurcation corresponds with a …

This paper deals with planar piecewise linear refracting systems with a straight line of
separation. Using the Poincaré compactification, we provide the classification of the phase …

The averaging theory for studying periodic orbits of smooth differential systems has a long
history. Whereas the averaging theory for piecewise smooth differential systems appeared …

This paper deal with the global dynamics of planar piecewise linear refracting systems of
saddle–saddle type with a straight line of separation. We investigate the singularities, limit …

The aim of this paper is to provide a discussion on the current directions of research
involving typical singularities of 3 D nonsmooth vector fields. A brief survey of known results …

This paper deals with the maximum number of limit cycles, which can be bifurcated from
periodic orbits of planar piecewise smooth Hamiltonian systems, which are located in a …

In this paper, we study global dynamics of a planar piecewise linear refracting system with a
straight line of separation of node-node type, improper node-improper node type and …

Planar piecewise linear systems with two linearity zones separated by a straight line and
with a periodic orbit at infinity are considered. By using some changes of variables and …