About the Trimmed and the Poincare-Dulac normal form of diffeomorphisms

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dc.creatorCresson, Jacky
dc.creatorRaissy, Jasmin
dc.date2006-05-29
dc.date.accessioned2026-07-07T07:14:35Z
dc.date.available2026-07-07T07:14:35Z
dc.descriptionWe study two particular continuous prenormal forms as defined by Jean Ecalle and Bruno Vallet for local analytic diffeomorphism: the Trimmed form and the Poincare-Dulac normal form. We first give a self-contain introduction to the mould formalism of Jean Ecalle. We provide a dictionary between moulds and the classical Lie algebraic formalism using non-commutative formal power series. We then give full proofs and details for results announced by J. Ecalle and B. Vallet about the Trimmed form of diffeomorphisms. We then discuss a mould approach to the classical Poincare-Dulac normal form of diffeomorphisms. We discuss the universal character of moulds taking place in normalization problems.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0605716
dc.identifierhttp://arxiv.org/abs/math/0605716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112937
dc.subjectDynamical Systems
dc.subject37G05-37G10
dc.titleAbout the Trimmed and the Poincare-Dulac normal form of diffeomorphisms
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