Invertible contractions and asymptotically stable ODE´s that are not C<sup>1</sup>-linearizable
| dc.contributor.author | Munhoz Rodrigues, Hildebrando |
| dc.contributor.author | Solà-Morales Rubió, Joan de |
| dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
| dc.date.accessioned | 2007-05-08T16:57:43Z |
| dc.date.available | 2007-05-08T16:57:43Z |
| dc.date.created | 2005 |
| dc.date.issued | 2005 |
| dc.description.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. |
| dc.format.extent | 14 |
| dc.identifier.uri | https://hdl.handle.net/2117/945 |
| dc.language.iso | eng |
| dc.rights.access | Open Access |
| dc.rights.licensename | Attribution-NonCommercial-NoDerivs 2.5 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
| dc.subject.ams | Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34D Stability theory |
| dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34G Differential equations in abstract spaces |
| dc.subject.lcsh | Partial differential equations |
| dc.subject.lcsh | Differential equations |
| dc.subject.lemac | Equacions en derivades parcials |
| dc.subject.lemac | Equacions diferencials ordinàries |
| dc.subject.other | linearization |
| dc.subject.other | conjugacy |
| dc.subject.other | contraction |
| dc.title | Invertible contractions and asymptotically stable ODE´s that are not C<sup>1</sup>-linearizable |
| dc.type | Article |
| dspace.entity.type | Publication |
| local.personalitzacitacio | true |
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