Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892783 | Journal of Geometry and Physics | 2015 | 7 Pages |
Abstract
In the paper, we consider a completely integrable Hamiltonian system with three degrees of freedom found by V.V. Sokolov and A.V. Tsiganov. This system is known as the generalized two-field gyrostat. For the case of only gyroscopic forces present, we find new invariant four-dimensional submanifolds such that the induced dynamical systems are almost everywhere Hamiltonian with two degrees of freedom.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
P.E. Ryabov,