Separation of variables in the generalized 4th Appelrot class

DOI10.1134/S1560354707030021zbMath1229.70012arXiv0803.1024OpenAlexW2017487784MaRDI QIDQ655262

Mikhail P. Kharlamov

Publication date: 3 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1024

zbMATH Keywords

separation of variablesdouble fieldKowalevski topAppelrot classes

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17) Topological and differential topological methods for problems in mechanics (70G40)

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. II: Real solutions ⋮ Phase topology of one irreducible integrable problem in the dynamics of a rigid body ⋮ Explicit integration and topology of D.N. Goryachev case ⋮ Phase topology of one system with separated variables and singularities of the symplectic structure ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field

Cites Work

• Unnamed Item
• On the existence of motions in the generalized 4th Appelrot class
• Euler equations on finite dimensional Lie algebras arising in physical problems
• Lax representation with a spectral parameter for the Kowalevski top and its generalizations
• Bifurcation diagrams of the Kowalevski top in two constant fields
• Separation of variables and integral manifolds in one problem of motion of generalized Kowalevski top
• Fomenko-Zieschang invariant in the Bogoyavlensky integrable case

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