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

Dynamical Systems 2012-02-10 v2

Abstract

The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems u¨(t)+V(u(t))=0\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.

Keywords

Cite

@article{arxiv.1201.1791,
  title  = {Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy},
  author = {Donglun Wu and Shiqing Zhang},
  journal= {arXiv preprint arXiv:1201.1791},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author due to a crucial sign error in proof of Lemma 5.2