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

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dc.creatorSelivanova, Elena N.
dc.date1997-12-27
dc.date.accessioned2026-07-07T03:24:38Z
dc.date.available2026-07-07T03:24:38Z
dc.descriptionThere 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 $S^2$ possessing an integral of fourth degree in momenta which includes the case of Kovalevskaya. In this paper we proposed new examples of conservative systems on $S^2$ possessing an integral of fourth degree in momenta.
dc.description17 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/dg-ga/9712018
dc.identifierhttp://arxiv.org/abs/dg-ga/9712018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33408
dc.subjectDifferential Geometry
dc.titleNew families of conservative systems on $S^2$ possessing an integral of fourth degree in momenta
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