The objective of this paper is to study the number and stability of limit cycles for planar
piecewise linear (PWL) systems of node–saddle type with two linear regions. Firstly, we give …

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 …

The family of Filippov systems constituted by planar discontinuous piecewise linear systems
with two half-plane linearity zones is considered. Under generic conditions that amount to …

Much progress has been made in planar piecewise smooth dynamical systems. However
there remain many important problems to be solved even in planar piecewise linear …

In this paper, the general perturbation of piecewise Hamiltonian systems on the plane is
considered. When the unperturbed system has a family of periodic orbits, similar to the …

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

Untitled Page 1 Page 2 Vesselin Kyurkchiev, Nikolay Kyurkchiev, Anton Iliev, Asen Rahnev ON
THE LIENARD SYSTEM WITH SOME ”CORRECTIONS OF POLYNOMIAL–TYPE”: NUMBER …

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 …

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 …