Algorithmic reduction of Poincare'-Dulac normal forms and Lie algebraic structure

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dc.creatorGaeta, G.
dc.date2001-02-28
dc.date.accessioned2026-07-07T04:28:19Z
dc.date.available2026-07-07T04:28:19Z
dc.descriptionThe Poincare'-Dulac normal form of a given resonant system is in general non unique; given a specific normal form, one would like to further reduce it to a simplest normal form. In this note we give an algorithm, based on the Lie algebraic structure of the set of normal forms, to obtain this. The algorithm can be applied under some condition, non generic but often met in applications; when applicable, it only requires to solve linear equations, and is more powerful than the one proposed in previous work by the same author [Lett. Math. Phys. 42, 103-114; and Ann. I.H.P. 70, 461-514].
dc.description20 pages, no figures
dc.identifierhttps://arxiv.org/abs/math-ph/0102037
dc.identifierhttp://arxiv.org/abs/math-ph/0102037
dc.identifierLett. Math. Phys. 57 (2001), 41-60
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56746
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.titleAlgorithmic reduction of Poincare'-Dulac normal forms and Lie algebraic structure
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