The topology of Liouville foliation for the Sokolov integrable case on the Lie algebra so(4)
Journal Article
·
· Sbornik. Mathematics
- Azarbaijan University of Tarbiat Moallem, Tabriz (Iran, Islamic Republic of)
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
Several new integrable cases for Euler's equations on some six-dimensional Lie algebras were found by Sokolov in 2004. In this paper we study topological properties of one of these integrable cases on the Lie algebra so(4). In particular, for the system under consideration the bifurcation diagrams of the momentum mapping are constructed and all Fomenko invariants are calculated. Thereby, the classification of isoenergy surfaces for this system up to the rough Liouville equivalence is obtained. Bibliography: 9 titles.
- OSTI ID:
- 21301616
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 200; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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