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

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

2012-01-09

arxiv.org/abs/1201.1791v2

Mathematics

Dynamical Systems

This paper has been withdrawn by the author due to a crucial sign error in proof of Lemma 5.2

Scientific paper

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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