Reduction and reconstruction aspects of second-order dynamical systems with symmetry

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dc.creatorCrampin, M.
dc.creatorMestdag, T.
dc.date2008-07-01
dc.date.accessioned2026-07-07T12:41:26Z
dc.date.available2026-07-07T12:41:26Z
dc.descriptionWe examine the reduction process of a system of second-order ordinary differential equations which is invariant under a Lie group action. With the aid of connection theory, we explain why the associated vector field decomposes in three parts and we show how the integral curves of the original system can be reconstructed from the reduced dynamics. An illustrative example confirms the results.
dc.description28 pages, to appear in Acta Appl. Math
dc.identifierhttps://arxiv.org/abs/0807.0156
dc.identifierhttp://arxiv.org/abs/0807.0156
dc.identifierActa Appl. Math.105 (2009), 241-266.
dc.identifierdoi:10.1007/s10440-008-9274-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219768
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject34A26; 37J15; 53C05
dc.titleReduction and reconstruction aspects of second-order dynamical systems with symmetry
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