Email this article New invariant relations for one critical subsystem of a generalized two-field gyrostat
- Authors: Sokolov S.V.1,2
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Affiliations:
- Blagonravov Institute of Machines Science
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 62, No 12 (2017)
- Pages: 567-570
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/192033
- DOI: https://doi.org/10.1134/S1028335817120096
- ID: 192033
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Abstract
In this paper new invariant relations for one critical subsystem of a completely integrable Hamiltonian system with three degrees of freedom found by V.V. Sokolov and A.V. Tsyganov, known as a generalized two-field gyrostat, are obtained. The dynamic system that is induced on the invariant four-dimensional submanifolds is almost everywhere Hamiltonian with two degrees of freedom. The type of system motions on this invariant manifold is determined.
About the authors
S. V. Sokolov
Blagonravov Institute of Machines Science; Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: sokolovsv72@mail.ru
Russian Federation, Moscow; Moscow
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