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 …

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 …

This paper introduces an algorithmic approach to the analysis of bifurcation of limit cycles
from the centers of nonlinear continuous differential systems via the averaging method. We …

This paper focuses on the research of the algorithm for higher order Melnikov functions for
piecewise Hamiltonian systems under piecewise perturbations in any order ϵ. Then the …

We study the existence of periodic solutions in a class of planar Filippov systems obtained
from non-autonomous periodic perturbations of reversible piecewise smooth differential …

This paper addresses the perturbation of higher-dimensional non-smooth autonomous
differential systems characterized by two zones separated by a codimension-one manifold …

This research considers discontinuous dynamical systems, which have related vector fields
that shift over a discontinuity surface. These systems appear in a variety of applications …

In this paper, we consider the bifurcation problem of limit cycles for a class of piecewise
smooth cubic systems separated by the straight line x= 0. Using the first order Melnikov …

Let D⊂ Rd open bounded subset and S1= R/T for some T> 0. Consider a finite sequence of
open disjoints subset (Sj)⊂ S1× D, j= 1,..., N. Assume that the boundaries of Sj are …