Integrable Systems on the Tangent Bundle of a Multi-Dimensional Sphere
- Authors: Shamolin M.V.1
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Affiliations:
- M. V. Shamolin, Moscow State University
- Issue: Vol 234, No 4 (2018)
- Pages: 548-590
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241948
- DOI: https://doi.org/10.1007/s10958-018-4028-1
- ID: 241948
Cite item
Abstract
This paper contains a systematic exposition of some results on the equations of motion of a dynamically symmetric n-dimensional rigid body in a nonconservative field of forces. Similar bodies are considered in the dynamics of actual rigid bodies interacting with a resisting medium under the conditions of jet flow past the body with a nonconservative following force acting on the body in such a way that its characteristic point has a constant velocity, which means that the system has a nonintegrable servo-constraint.
About the authors
M. V. Shamolin
M. V. Shamolin, Moscow State University
Author for correspondence.
Email: shamolin@imec.msu.ru
Russian Federation, Moscow