✦ LIBER ✦
A note on topology of isoenergy manifold of n-degree natural Hamiltonian systems and existence of global Poincaré section
✍ Scribed by Xiao-Song Yang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 85 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
The fundamental group of compact isoenergy manifolds of natural n-degree of freedom Hamiltonian systems is discussed. It is demonstrated that a certain topology of corresponding accessible region in configuration space gives rise to topological obstruction to the existence of global Poincar e e sections.