Recent Applications of the Theory of Lie Systems in Ermakov Systems

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dc.creatorCariñena, José F.
dc.creatorDe Lucas, Javier
dc.creatorRañada, Manuel F.
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:34:53Z
dc.date.available2026-07-07T09:34:53Z
dc.descriptionWe review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, etc., are found from this new perspective. We also obtain new results, such as a new superposition rule for the Pinney equation in terms of three solutions of a related Riccati equation.
dc.descriptionThis is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0803.1824
dc.identifierhttp://arxiv.org/abs/0803.1824
dc.identifierSIGMA 4 (2008), 031, 18 pages
dc.identifierdoi:10.3842/SIGMA.2008.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159656
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.titleRecent Applications of the Theory of Lie Systems in Ermakov Systems
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