Invertible contractions and asymptotically stable ODE´s that are not C<sup>1</sup>-linearizable

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Título:	Invertible contractions and asymptotically stable ODE´s that are not C¹-linearizable
Autor/a:	Munhoz Rodrigues, Hildebrando; Solà-Morales Rubió, Joan de
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	We present an example of a contraction di®eomorphism in in¯nite dimensions that is not C1-linearizable, and we construct a regular ordinary di®erential equation in a Hilbert space whose time-one map is that di®eomorphism. With this we have an example of an asymptotically stable ODE that is not C1-conjugate to its linear part.
Materia(s):	-Partial differential equations -Differential equations -linearization -conjugacy -contraction -Equacions en derivades parcials -Equacions diferencials ordinàries -Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions -Classificació AMS::34 Ordinary differential equations::34D Stability theory -Classificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
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