Integrable systems with linear periodic integral for the Lie algebra $\mathrm{e}(3)$
Differential Geometry
2023-01-16 v1
Abstract
Integrable systems with a linear periodic integral for the Lie algebra are considered. One investigates singulariries 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.
Cite
@article{arxiv.2301.05283,
title = {Integrable systems with linear periodic integral for the Lie algebra $\mathrm{e}(3)$},
author = {I. K. Kozlov and A. A. Oshemkov},
journal= {arXiv preprint arXiv:2301.05283},
year = {2023}
}