We study the number of limit cycles bifurcating from a piecewise quadratic system. All the
differential systems considered are piecewise in two zones separated by a straight line. We …

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 our previous work, we have studied the limit cycles for a class of discontinuous piecewise
quadratic polynomial differential systems with a non-regular line of discontinuity, which is …

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 …

This paper investigates a class of reversible quadratic systems perturbed inside piecewise
polynomial differential systems of arbitrary degree n. All possible phase portraits of the …

In this paper, we study Poincaré bifurcation of a class of piecewise polynomial systems,
whose unperturbed system has a period annulus together with two invariant lines. The main …

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 …

In this paper we study the limit cycles which bifurcate from the periodic orbits of the quadratic
uniform isochronous center x ̇=− y+ xy, y ̇= x+ y 2, when this center is perturbed inside the …