Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without
Equilibrium Points Page 1 September 19, 2020 7:48 WSPC/S0218-1274 2050157 International …

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 …

This paper considers the limit cycle bifurcation problem of planar piecewise differential
systems with three zones. Some computation formulas studied the problem of limit cycle …

Some techniques for studying the existence of limit cycles for smooth differential systems are
extended to continuous piecewise linear differential systems. Rigorous new results are …

First, this paper provides a new proof for the expression of the generalized first order
Melnikov function on piecewise smooth differential systems with multiply straight lines. Then …

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 …

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 …

In this paper, we investigate the existence of one type of homoclinic double loops (ie figure-
eight loops) in a family of planar sector-wise linear systems with saddle–saddle dynamics …

We study the dynamics of a continuous planar piecewise linear differential system with three
zones separated by two parallel lines. We provide a complete study on the maximum …