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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:1403.3901 (nlin)
[Submitted on 16 Mar 2014 (v1), last revised 23 Mar 2014 (this version, v2)]

Title:New invariant relations for the generalized two-field gyrostat

Authors:Pavel E. Ryabov
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Abstract:In the paper, we consider a completely integrable Hamiltonian system with three degrees of freedom found by this http URL and this http URL. 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.
Comments: LaTex, 13 pages. Submitted to J. of Geometry and Physics 16.03.2014
Subjects: Exactly Solvable and Integrable Systems (nlin.SI)
MSC classes: 70E17 70G40 70H06 70E40
Cite as: arXiv:1403.3901 [nlin.SI]
  (or arXiv:1403.3901v2 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.1403.3901
Related DOI: https://doi.org/10.1016/j.geomphys.2014.07.009

Submission history

From: Pavel Ryabov [view email]
[v1] Sun, 16 Mar 2014 10:32:47 UTC (23 KB)
[v2] Sun, 23 Mar 2014 13:37:52 UTC (23 KB)
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