Persistence of relative periodic orbits in symmetric Hamiltonian systems
- 作者：Montaldi ; James
- 刊名：Comptes Rendus de l'Academie des Sciences Series I Mathematics
- 出版年：1997
- 期刊代码：10_07644442
- 类别：mt
- 出版时间：March, 1997
- 卷：324
- 期：5
- 页码：553-558
- 文件大小：358 K
摘要
It was known to Poincaré that a non-degenerate periodic orbit in a Hamiltonian system persists to nearby energy-levels. In this Note, we consider the analogous problem for relative periodic orbits in symmetric Hamiltonian systems. We show that non-degenerate relative periodic orbits also persist when shifting to nearby values of the energy-momentum map, under the hypothesis that the group of symmetries acts freely.
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