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arxiv: 1110.6358 · v1 · pith:U5N623ULnew · submitted 2011-10-28 · 🧮 math.CA

Bifurcations of planar Hamiltonian systems with impulsive perturbation

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keywords bifurcationshamiltonianharmonicimpulsiveperturbationplanarsolutionsubharmonic
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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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