Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy

preprint2012arXivOpen access

The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems $\ddot{u}(t)+\nabla V(u(t))=0$ by taking limit for a sequence of non-collision periodic solutions which are obtained by Mountain Pass Lemma.

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Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy

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