Reduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries

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dc.creatorSedoglavic, Alexandre
dc.date2006-12-19
dc.date.accessioned2026-07-07T08:05:53Z
dc.date.available2026-07-07T08:05:53Z
dc.descriptionLie group theory states that knowledge of a $m$-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by $m$ the number of equations. We apply this principle by finding some \emph{affine derivations} that induces \emph{expanded} Lie point symmetries of considered system. By rewriting original problem in an invariant coordinates set for these symmetries, we \emph{reduce} the number of involved parameters. We present an algorithm based on this standpoint whose arithmetic complexity is \emph{quasi-polynomial} in input's size.
dc.descriptionBefore analysing an algebraic system (differential or not), one can generally reduce the number of parameters defining the system behavior by studying the system's Lie symmetries
dc.identifierhttps://arxiv.org/abs/cs/0612094
dc.identifierhttp://arxiv.org/abs/cs/0612094
dc.identifierDans Algebraic Biology 2007 4545 (2007) 277--291
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130420
dc.subjectSymbolic Computation
dc.titleReduction of Algebraic Parametric Systems by Rectification of their Affine Expanded Lie Symmetries
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