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一类固定能量奇异哈密顿系统的抛物轨道

动力系统 2012-02-10 v2

作者: Donglun Wu , Shiqing Zhang

在 arXiv 上查看 ↗ PDF ↗

摘要

对于一类奇异哈密顿系统 $\ddot{u}(t)+\nabla V(u(t))=0$ ，通过取一列由山路引理得到的非碰撞周期解的极限，得到了抛物轨道的存在性。

关键词

抛物轨道奇异哈密顿系统固定能量非碰撞周期解山路引理存在性

引用

@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}
}

备注

This paper has been withdrawn by the author due to a crucial sign error in proof of Lemma 5.2