In this paper, we consider the quadratic isochronous centers perturbed inside piecewise
polynomial differential systems of arbitrary degree n with the straight line of discontinuity x …

In this paper, we study limit cycle bifurcations for planar piecewise smooth near-Hamiltonian
systems with n th-order polynomial perturbation. The piecewise smooth linear differential …

In this paper, we study Poincaré bifurcation of limit cycles from a piecewise linear
Hamiltonian system with a center at the origin and a homoclinic loop round the origin. By …

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 …

In this paper, we study a class of piecewise smooth near-Hamiltonian systems with
piecewise polynomial perturbations. We first give the expression of the first order Melnikov …

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 …

While the limit cycles of the discontinuous piecewise differential systems formed by two
linear differential systems separated by one straight line have been studied intensively, and …

The present paper is devoted to study the problem of limit cycle bifurcations for nonsmooth
integrable differential systems with two perpendicular switching lines. By using the Picard …

Systems composed of piecewise smooth differential (PSD) mappings have quantitatively
been searched for answers to a substantial issue of limit cycle (LC) bifurcations. In this …

We provide an upper bound for the maximum number of limit cycles for the class of
discontinuous piecewise differential systems formed by two differential systems separated …