Nonlocal interpretation of $λ$-variational symmetry-reduction method

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dc.creatorFerraioli, D. Catalano
dc.creatorMorando, P.
dc.date2009-03-05
dc.date2009-03-11
dc.date.accessioned2026-07-07T12:50:47Z
dc.date.available2026-07-07T12:50:47Z
dc.descriptionIn this paper we give a geometric interpretation of a reduction method based on the so called $λ$-variational symmetry (C. Muriel, J.L. Romero and P. Olver 2006 \emph{Variational $C^{\infty}$-symmetries and Euler-Lagrange equations} J. Differential equations \textbf{222} 164-184). In general this allows only a partial reduction but it is particularly suitable for the reduction of variational ODEs with a lack of computable local symmetries. We show that this method is better understood as a nonlocal symmetry-reduction.
dc.identifierhttps://arxiv.org/abs/0903.1014
dc.identifierhttp://arxiv.org/abs/0903.1014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222789
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37K05; 34C14; 70S10
dc.titleNonlocal interpretation of $λ$-variational symmetry-reduction method
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