Bifurcations of planar Hamiltonian systems with impulsive perturbation

Details Bifurcations of planar Hamiltonian systems with impulsive perturbation Bifurcations of planar Hamiltonian systems with impulsive perturbation

2011-10-28

arxiv.org/abs/1110.6358v1

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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.

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