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dc.contributor.authorMunhoz Rodrigues, Hildebrando
dc.contributor.authorSolà-Morales Rubió, Joan de
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-05-08T16:57:43Z
dc.date.available2007-05-08T16:57:43Z
dc.date.created2005
dc.date.issued2005
dc.identifier.urihttp://hdl.handle.net/2117/945
dc.description.abstractWe 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.
dc.format.extent14
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshPartial differential equations
dc.subject.lcshDifferential equations
dc.subject.otherlinearization
dc.subject.otherconjugacy
dc.subject.othercontraction
dc.titleInvertible contractions and asymptotically stable ODE´s that are not C<sup>1</sup>-linearizable
dc.typeArticle
dc.subject.lemacEquacions en derivades parcials
dc.subject.lemacEquacions diferencials ordinàries
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::35 Partial differential equations::35B Qualitative properties of solutions
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34D Stability theory
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain