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

In this paper, we provide for the first time rigorous mathematical results regarding the rich
dynamics of piecewise linear memristor oscillators. In particular, for each nonlinear oscillator …

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 …

Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without
Equilibrium Points Page 1 September 19, 2020 7:48 WSPC/S0218-1274 2050157 International …

This paper provides the classification of the phase portraits in the Poincaré disc of all
piecewise linear continuous differential systems with two zones separated by a straight line …

We consider continuous piecewise-linear differential systems with three zones where the
central one is degenerate, that is, the determinant of its linear part vanishes. By moving one …

We obtain lower bounds for the maximum number of limit cycles bifurcating from periodic
annuli of discontinuous planar piecewise linear Hamiltonian differential systems with three …

In this paper, we investigate the existence of limit cycles for the discontinuous planar
piecewise linear systems with three zones separated by two parallel straight lines. Based on …

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 …

We apply the averaging theory of high order for computing the limit cycles of discontinuous
piecewise quadratic and cubic polynomial perturbations of a linear center. These …