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 …

The second part of Hilbert's sixteenth problem consists in determining the upper bound H (n)
for the number of limit cycles that planar polynomial vector fields of degree n can have. For …

The main topic studied in this article is the number of crossing limit cycles bifurcating from
two or three period annuli in discontinuous planar piecewise linear Hamiltonian differential …

Continuing the investigation for the piecewise polynomial perturbations of the linear center x
̇=− y, y ̇= x from Buzzi et al.(2018) for the case where the switching boundary is a straight …

In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus
in a discontinuous planar piecewise linear Hamiltonian differential system with three zones …

This paper deals with the problem of limit cycle bifurcations for a piecewise near-Hamilton
system with four regions separated by algebraic curves y=±x 2. By analyzing the obtained …

This paper deals with the problem of limit cycle bifurcations for a piecewise smooth Hamilton
system with two straight lines of separation. By analyzing the obtained first order Melnikov …

In this paper, we study the maximum number of limit cycles for the piecewise smooth system
of differential equations $\dot {x}= y,\\dot {y}=-x-\varepsilon\cdot (f (x)\cdot y+{\rm sgn}(y)\cdot …

In this paper we study the maximum number of limit cycles bifurcating from the periodic
orbits of the center x=− y ((x2+ y2)/2) m, y= x ((x2+ y2)/2) m with m≥ 0 under discontinuous …

In this paper, we study the number of limit cycles that can bifurcate from a periodic annulus
in discontinuous planar piecewise linear Hamiltonian differential system with three zones …