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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 3, Pages 331–348
(Mi nd142)
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This article is cited in 6 scientific papers (total in 6 papers)
Critical subsystems of the Kowalevski gyrostat in two constant fields
M. P. Kharlamov Volgograd Academy of Public Administration
Abstract:
The Kowalevski gyrostat in two constant fields is known as the unique profound example of an integrable Hamiltonian system with three degrees of freedom not reducible to a family of systems in fewer dimensions. As the first approach to topological analysis of this system we find the critical set of the integral map; this set consists of the trajectories with number of frequencies less than three. We obtain the equations of the bifurcation diagram in three-dimensional space of the first integrals constants.
Keywords:
Kowalevski gyrostat, two constant fields, critical set, bifurcation diagram.
Citation:
M. P. Kharlamov, “Critical subsystems of the Kowalevski gyrostat in two constant fields”, Nelin. Dinam., 3:3 (2007), 331–348
Linking options:
https://www.mathnet.ru/eng/nd142 https://www.mathnet.ru/eng/nd/v3/i3/p331
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Abstract page: | 200 | Full-text PDF : | 72 | First page: | 1 |
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