Explicit determination of certain periodic motions of a generalized two-field gyrostat
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Publication:1702422
DOI10.1134/S1061920817040100zbMath1412.70002OpenAlexW2963435682MaRDI QIDQ1702422
A. A. Oshemkov, Pavel E. Ryabov, Sergei V. Sokolov
Publication date: 28 February 2018
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1061920817040100
Dynamical systems in classical and celestial mechanics (37N05) Motion of the gyroscope (70E05) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)
Cites Work
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- Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\)
- Dynamics of the Chaplygin sleigh on a cylinder
- Falling motion of a circular cylinder interacting dynamically with a point vortex
- New invariant relations for the generalized two-field gyrostat
- The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(4)\)
- Explicit integration and topology of D.N. Goryachev case
- On certain integrable motions of a rigid body acted upon by gravity and magnetic fields
- Euler equations on finite dimensional Lie algebras arising in physical problems
- Lax representation with a spectral parameter for the Kowalevski top and its generalizations
- Dynamics of three vortices on a plane and a sphere. II: General compact case
- Lax pairs for the deformed Kowalevski and Goryachev--Chaplygin tops
- Bifurcation analysis and the Conley index in mechanics
- The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
- Bifurcation diagrams of the Kowalevski top in two constant fields
- Phase topology of one irreducible integrable problem in the dynamics of a rigid body
- The spatial problem of 2 bodies on a sphere. Reduction and stochasticity
- The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram
- Periodic motions of the Kowalevski gyrostat in two constant fields
- Topology and stability of integrable systems
- Fomenko-Zieschang invariant in the Bogoyavlensky integrable case
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