Phase topology of one irreducible integrable problem in the dynamics of a rigid body

DOI10.1007/s11232-013-0087-0zbMath1286.70023OpenAlexW2066011016MaRDI QIDQ2449527

Pavel E. Ryabov

Publication date: 8 May 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-013-0087-0

zbMATH Keywords

bifurcation diagrammoment mapspectral curvecompletely integrable Hamiltonian systembifurcation of Liouville tori

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (6)

Topological atlas of the Kowalevski-Sokolov top ⋮ Explicit determination of certain periodic motions of a generalized two-field gyrostat ⋮ New invariant relations for the generalized two-field gyrostat ⋮ Generalizations of the Kovalevskaya case and quaternions ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field ⋮ Qualitative Analysis of the Reyman – Semenov–Tian–Shansky Integrable Case of the Generalized Kowalewski Top

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