Topological classification of the Goryachev integrable systems in the rigid body dynamics: non-compact case
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Publication:1703313
DOI10.1134/S1995080217060087zbMath1395.37042OpenAlexW2768703042MaRDI QIDQ1703313
Publication date: 2 March 2018
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080217060087
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40)
Related Items (5)
Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\) ⋮ Topology of integrable billiard in an ellipse in the Minkowski plane with the Hooke potential ⋮ First Appelrot class of pseudo-Euclidean Kovalevskaya system ⋮ Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds ⋮ The geodesic flow on a two-dimensional ellipsoid in the field of an elastic force. Topological classification of solutions
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- Topological classification of the Goryachev integrable case in rigid body dynamics
- The phase topology of a special case of Goryachev integrability in rigid body dynamics
- A topological classification of the Chaplygin systems in the dynamics of a rigid body in a fluid
- Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity
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