Bifurcations of planar Hamiltonian systems with impulsive perturbation

Abstract

In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impulsive perturbation. We give some sufficient conditions under which a harmonic or subharmonic solution exists.

arXiv commentThis paper was submitted to Nonlinear Analysis: Theory, Methods & Applications