Topological classification of integrable geodesic flows in a potential field on the torus of revolution
- Авторы: Timonina D.1
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Учреждения:
- Faculty of Mechanics and Mathematics
- Выпуск: Том 38, № 6 (2017)
- Страницы: 1108-1120
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200609
- DOI: https://doi.org/10.1134/S1995080217060130
- ID: 200609
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Аннотация
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.
Об авторах
D. Timonina
Faculty of Mechanics and Mathematics
Автор, ответственный за переписку.
Email: darik93@yandex.ru
Россия, Moscow, 119991