On the geometry of generalized Chaplygin systems

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dc.creatorCantrijn, F.
dc.creatorCortes, J.
dc.creatorde Leon, M.
dc.creatorde Diego, D. Martin
dc.date2000-08-17
dc.date2000-11-16
dc.date.accessioned2026-07-07T04:36:52Z
dc.date.available2026-07-07T04:36:52Z
dc.descriptionSome aspects of the geometry and the dynamics of generalized Chaplygin systems are investigated. First, two different but complementary approaches to the construction of the reduced dynamics are reviewed: a symplectic approach and an approach based on the theory of affine connections. Both are mutually compared and further completed. Next, a necessary and sufficient condition is derived for the existence of an invariant measure for the reduced dynamics of generalized Chaplygin systems of mechanical type. A simple example is then constructed of a generalized Chaplygin system which does not verify this condition, thereby answering in the negative a question raised by Koiller.
dc.description33 pages, no figures; added references for Section 4. To appear in Math. Proc. Cambridge Philos. Soc
dc.identifierhttps://arxiv.org/abs/math/0008141
dc.identifierhttp://arxiv.org/abs/math/0008141
dc.identifierMath. Proc. Camb. Philos. Soc. 132 (2002), 323-351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59759
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject58F05; 70F25; 70Hxx
dc.titleOn the geometry of generalized Chaplygin systems
dc.typetext

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