Qualitative Analysis of the Reyman – Semenov–Tian–Shansky Integrable Case of the Generalized Kowalewski Top

DOI10.1007/978-3-319-45641-6_19zbMath1453.70003OpenAlexW2509913260MaRDI QIDQ2830006

Tatiana Titorenko, Valentin Irtegov

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-45641-6_19

Mathematics Subject Classification ID

Motion of a rigid body with a fixed point (70E17)

Cites Work

• Investigation of equilibria of a satellite subjected to gravitational and aerodynamic torques
• New integrable cases in the dynamics of rigid bodies
• The Kowalewski top 99 years later: a Lax pair, generalizations and explicit solutions
• Phase topology of one irreducible integrable problem in the dynamics of a rigid body
• Classification of singularities in the problem of motion of the Kovalevskaya top in a double force field
• On Invariant Manifolds and Their Stability in the Problem of Motion of a Rigid Body under the Influence of Two Force Fields
• Fomenko-Zieschang invariant in the Bogoyavlensky integrable case

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