New families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta

Preprint English OPEN
Selivanova, Elena N.;
(1997)
  • Subject: Mathematics - Differential Geometry
    arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems

There is a well-known example of integrable conservative system on $S^2$, the case of Kovalevskaya in the dynamics of a rigid body, possessing an integral of fourth degree in momenta. Goryachev proposed a one-parameter family of examples of conservative systems on $S^2$... View more
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