Topological classification of integrable geodesic flows in a potential field on the torus of revolution
- Authors: Timonina D.S.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 38, No 6 (2017)
- Pages: 1108-1120
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200609
- DOI: https://doi.org/10.1134/S1995080217060130
- ID: 200609
Cite item
Abstract
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.
About the authors
D. S. Timonina
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: darik93@yandex.ru
Russian Federation, Moscow, 119991