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Invertible Contractions and Asymptotically Stable ODE’S that are not C1-Linearizable

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dc.contributor.authorSolà-Morales, J.
dc.contributor.authorRodrigues, Hildebrando M.
dc.date.accessioned2023-06-20T09:28:10Z
dc.date.available2023-06-20T09:28:10Z
dc.date.issued2006-10
dc.description.abstractWe present an example of a contraction diffeomorphism in infinite dimensions that is not C1-linearizable, and we construct a regular ordinary differential equation in a Hilbert space whose time-one map is that diffeomorphism. With this we have an example of an asymptotically stable ODE that is not C1-conjugate to its linear part.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMCyT-MEC
dc.description.sponsorshipDURSI
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/12475
dc.identifier.doihttp://www.springerlink.com/content/1040-7294/
dc.identifier.issn1040-7294
dc.identifier.officialurlhttp://www.springerlink.com/content/1040-7294/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49636
dc.issue.number4
dc.journal.titleJournal of Dynamics and Differential Equations
dc.language.isoeng
dc.page.final974
dc.page.initial961
dc.publisherSpringer
dc.relation.projectIDBMF2002-04613-C03-01
dc.relation.projectID2005BE0024
dc.rights.accessRightsopen access
dc.subject.cdu517.9
dc.subject.keywordLinearization
dc.subject.keywordConjugacy
dc.subject.keywordContraction
dc.subject.ucmEcuaciones diferenciales
dc.subject.unesco1202.07 Ecuaciones en Diferencias
dc.titleInvertible Contractions and Asymptotically Stable ODE’S that are not C1-Linearizable
dc.typejournal article
dc.volume.number18
dspace.entity.typePublication

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