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arXiv · 2301.05283

Integrable systems with linear periodic integral for the Lie algebra $\mathrm{e}(3)$

I. K. Kozlov·A. A. Oshemkov
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Abstract

Integrable systems with a linear periodic integral for the Lie algebra $\mathrm{e}(3)$ 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.

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I. K. Kozlov, A. A. Oshemkov. 2023-01-12. Integrable systems with linear periodic integral for the Lie algebra $\mathrm{e}(3)$. https://arxiv.org/abs/2301.05283

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