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Separation of variables in the generalized 4th Appelrot class. II: Real solutions

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Publication:653256
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DOI10.1134/S1560354709060021zbMath1229.70013MaRDI QIDQ653256

Mikhail P. Kharlamov

Publication date: 9 January 2012

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


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 (3)

Topological atlas of the Kovalevskaya top in a double field ⋮ Phase topology of one irreducible integrable problem in the dynamics of a rigid body ⋮ Extensions of the Appelrot classes for the generalized gyrostat in a double force field




Cites Work

  • Separation of variables in the generalized 4th Appelrot class
  • On the existence of motions in the generalized 4th Appelrot class
  • Lax representation with a spectral parameter for the Kowalevski top and its generalizations
  • Bifurcation diagrams of the Kowalevski top in two constant fields




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