Bifurcations of first integrals in the Sokolov case

DOI10.1023/A:1022224019967zbMath1178.37052MaRDI QIDQ2655254

Pavel E. Ryabov

Publication date: 22 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Kirchhoff equationsintegrable Hamiltonian systemsbifurcations of the Liouville tori

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Integrable cases of motion in rigid body dynamics (70E40)

Related Items (8)

Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\) ⋮ Topological atlas of the Kowalevski-Sokolov top ⋮ Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat ⋮ 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 \(\operatorname{so}(3, 1)\) ⋮ Computer algebra methods in the study of nonlinear differential systems ⋮ The topology of isoenergetic surfaces for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(3, 1)\) ⋮ Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms

This page was built for publication: Bifurcations of first integrals in the Sokolov case