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Battelli, F. and Fečkan, M. (2020) On the Poincaré-Adronov-Melnikov Method for the Existence of Grazing Impact Periodic Solutions of Differential Equations. Journal of Differential Equations, 268, 3725-3748.
https://doi.org/10.1016/j.jde.2019.10.014

has been cited by the following article:

• 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.