Smoothness of topological equivalence on the half line for nonautonomous systems
| Author | dc.contributor.author | Castañeda, Álvaro | |
| Author | dc.contributor.author | Robledo Veloso, Gonzalo | |
| Author | dc.contributor.author | Monzón, Pablo | |
| Admission date | dc.date.accessioned | 2019-10-22T03:11:13Z | |
| Available date | dc.date.available | 2019-10-22T03:11:13Z | |
| Publication date | dc.date.issued | 2020 | |
| Cita de ítem | dc.identifier.citation | Proceedings of the Royal Society of Edinburgh Section A Mathematics 150 (5) 2484-2502 Oct 2020 | |
| Identifier | dc.identifier.other | 10.1017/prm.2019.32 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/171887 | |
| Abstract | dc.description.abstract | We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we construct a homeomorphism inspired in the Palmer's one restricted to the positive half line, studying additional continuity properties and providing sufficient conditions ensuring itsC(R)-smoothness. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | Cambridge University Press | |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| Source | dc.source | Proceedings of the Royal Society of Edinburgh Section A: Mathematics | |
| Keywords | dc.subject | Topological equivalence | |
| Keywords | dc.subject | Nonautonomous differential equations | |
| Keywords | dc.subject | Nonautonomous hyperbolicity | |
| Keywords | dc.subject | Nonautonomous hyperbolicity | |
| Keywords | dc.subject | Uniform asymptotic stability | |
| Título | dc.title | Smoothness of topological equivalence on the half line for nonautonomous systems | |
| Document type | dc.type | Artículo de revista | |
| dcterms.accessRights | dcterms.accessRights | Acceso Abierto | |
| Cataloguer | uchile.catalogador | laj | |
| Indexation | uchile.index | Artículo de publicación ISI | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile