Bifurcations of planar Hamiltonian systems with impulsive perturbation
Classical Analysis and ODEs
2011-10-31 v1
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.
Keywords
Cite
@article{arxiv.1110.6358,
title = {Bifurcations of planar Hamiltonian systems with impulsive perturbation},
author = {Zhaoping Hu and Maoan Han and Valery G. Romanovski},
journal= {arXiv preprint arXiv:1110.6358},
year = {2011}
}
Comments
This paper was submitted to Nonlinear Analysis: Theory, Methods & Applications