Topological classification of integrable geodesic flows in a potential field on the torus of revolution
- 作者: Timonina D.1
-
隶属关系:
- Faculty of Mechanics and Mathematics
- 期: 卷 38, 编号 6 (2017)
- 页面: 1108-1120
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200609
- DOI: https://doi.org/10.1134/S1995080217060130
- ID: 200609
如何引用文章
详细
A Liouville classification of integrable Hamiltonian systems which are the geodesic flows on 2-dimensional torus of revolution in a invariant potential field in the case of linear integral is obtained. This classification is obtained using the Fomenko–Zieschang invariant (marked molecules) of investigated systems. All types of bifurcation curves are described. Also a classification of singularities of the system solutions is obtained.
作者简介
D. Timonina
Faculty of Mechanics and Mathematics
编辑信件的主要联系方式.
Email: darik93@yandex.ru
俄罗斯联邦, Moscow, 119991