In this paper we develop an arbitrary order Melnikov function to study limit cycles bifurcating
from a periodic submanifold for autonomous piecewise smooth differential systems in R n …

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

This paper is devoted to the study of limit cycles that can bifurcate of a perturbation of
piecewise non-Hamiltonian systems with nonlinear switching manifold. We derive the first …

This paper aims to study the limit cycles of planar piecewise polynomial Hamiltonian
systems of degree n with the switching boundary y= xm, where m and n are positive …

In this paper, we study the limit cycles in the discontinuous piecewise linear planar systems
separated by a nonregular line and formed by linear Hamiltonian vector fields without …

In this paper, we consider the bifurcation of limit cycles for generic L–V system (x ̇= y+ x 2−
y 2±4 3 xy, y ̇=− x+ 2 xy) and B–T system (x ̇= y, y ̇=− x+ x 2) under perturbations of …

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 investigate the limit cycle bifurcation in perturbations of non-smooth
Hamiltonian systems with 4 switching lines via multiple parameters. Using the first order …

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 …