TITLE:
Crossing Limit Cycles of Planar Piecewise Hamiltonian Systems with Linear Centers Separated by Two Parallel Straight Lines
AUTHORS:
Zhou Jin
KEYWORDS:
Limit Cycles, Planar Piecewise Hamiltonian Systems, Straight Lines, Centers, Equilibrium Points
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.5,
May
31,
2023
ABSTRACT: In this paper, we have studied several classes of planar piecewise Hamiltonian systems with three zones separated by two parallel straight lines. Firstly, we give the maximal number of limit cycles in these classes of systems with a center in two zones and without equilibrium points in the other zone (or with a center in one zone and without equilibrium points in the other zones). In addition, we also give examples to illustrate that it can reach the maximal number.