The topology of the Liouville foliation for the Kovalevskaya integrable case on the Lie algebra so(4)

DOI10.1070/SM2014V205N04ABEH004387zbMath1305.37031WikidataQ115316726 ScholiaQ115316726MaRDI QIDQ5495170

I. K. Kozlov

Publication date: 31 July 2014

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcation diagramKovalevskaya topintegrable Hamiltonian systemsLiouville foliationdynamics on Lie algebras

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (13)

Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\) ⋮ Topological atlas of the Kowalevski-Sokolov top ⋮ Chaplygin's ball with a rotor: non-degeneracy of singular points ⋮ The topology of the analog of Kovalevskaya integrability case on the Lie algebra \(\mathrm{so}(4)\) under zero area integral ⋮ Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ First Appelrot class of pseudo-Euclidean Kovalevskaya system ⋮ Topological analysis of the Liouville foliation for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(4)\) ⋮ The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(4)\) ⋮ Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(3, 1)\) ⋮ Billiards and integrable systems ⋮ Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras ⋮ Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra so(4) ⋮ Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms

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