Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top

zbMath1211.70006arXiv0803.0882MaRDI QIDQ3541614

Alexander Yu. Savushkin, Mikhail P. Kharlamov

Publication date: 26 November 2008

Full work available at URL: https://arxiv.org/abs/0803.0882

Mathematics Subject Classification ID

Dynamical systems in control (37N35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Related Items (7)

Bifurcation diagrams and critical subsystems of the Kowalevski gyrostat in two constant fields ⋮ Topological atlas of the Kovalevskaya top in a double field ⋮ Separation of variables in the generalized 4th Appelrot class ⋮ Phase topology of one system with separated variables and singularities of the symplectic structure ⋮ On the geometry of motions in one integrable problem of the rigid body dynamics ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field ⋮ Discriminantly separable polynomials and the generalized Kowalevski top

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