Integrable systems with linear periodic integral for the Lie algebra e(3)
- Authors: Kozlov I.1, Oshemkov A.1
-
Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 38, No 6 (2017)
- Pages: 1014-1026
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200515
- DOI: https://doi.org/10.1134/S1995080217060063
- ID: 200515
Cite item
Abstract
Integrable systems with a linear periodic integral for the Lie algebra e(3) are considered. One investigates singularities of the Liouville foliation, bifurcation diagram of the momentum mapping, transformations of Liouville tori, topology of isoenergy surfaces and other topological properties of such systems.
About the authors
I. Kozlov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: ikozlov90@gmail.com
Russian Federation, Moscow, 119991
A. Oshemkov
Faculty of Mechanics and Mathematics
Email: ikozlov90@gmail.com
Russian Federation, Moscow, 119991