Communications in Mathematical Physics

, Volume 95, Issue 3, pp 307–315 | Cite as

Euler equations on finite dimensional Lie algebras arising in physical problems

  • O. I. Bogoyavlensky


Real physical problems are presented in which Euler equations on Lie algebras of arbitrarily high finite dimension arise. A new integrable case of rotation of a magnetized rigid body in constant gravitational and magnetic fields is found. It generalizes the Kowalewski classical integrable case.


Magnetic Field Neural Network Statistical Physic Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • O. I. Bogoyavlensky
    • 1
  1. 1.V. A. Steklov Mathematical InstituteAcademy of Sciences of the USSRMoscowUSSR

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