Integrable systems with linear periodic integral for the Lie algebra e(3)


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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


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