On the case of Goryachev-Chaplygin and new examples of integrable conservative systems on S^2

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dc.creatorSelivanova, E. N.
dc.date1998-01-28
dc.date.accessioned2026-07-07T05:23:42Z
dc.date.available2026-07-07T05:23:42Z
dc.descriptionThe aim of this paper is to describe a class of conservative systems on $S^2$ possessing an integral cubic in momenta. We prove that this class of systems consists off the case of Goryachev-Chaplygin, the one-parameter family of systems which has been found by the author in the previous paper (dg-ga/9711005) and a new two-parameter family of conservative systems on $S^2$ possessing an integral cubic in momenta.
dc.description16 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math/9801124
dc.identifierhttp://arxiv.org/abs/math/9801124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76541
dc.subjectDifferential Geometry
dc.subject58F07
dc.titleOn the case of Goryachev-Chaplygin and new examples of integrable conservative systems on S^2
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