Smoothness of topological equivalence on the half line for nonautonomous systems.

Castañeda, Álvaro - Robledo, Gonzalo - Monzón, Pablo

Resumen:

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 its Cr–smoothness.


Detalles Bibliográficos
2019
Topological equivalence
Nonautonomous differential equations
Nonautonomous hyperbolicity
Uniform asymptotic stability
Diffeomorphism
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/25157
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Castañeda, Álvaro
author2 Robledo, Gonzalo
Monzón, Pablo
author2_role author
author
author_facet Castañeda, Álvaro
Robledo, Gonzalo
Monzón, Pablo
author_role author
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collection COLIBRI
dc.contributor.filiacion.none.fl_str_mv Castañeda Álvaro, Universidad de Chile. Departamento de Matemáticas.
Robledo Gonzalo, Universidad de Chile. Departamento de Matemáticas.
Monzón Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.
dc.creator.none.fl_str_mv Castañeda, Álvaro
Robledo, Gonzalo
Monzón, Pablo
dc.date.accessioned.none.fl_str_mv 2020-09-04T16:16:17Z
dc.date.available.none.fl_str_mv 2020-09-04T16:16:17Z
dc.date.issued.none.fl_str_mv 2019
dc.description.abstract.none.fl_txt_mv 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 its Cr–smoothness.
dc.description.es.fl_txt_mv Publicado en línea por Cambridge University Press: 07 de mayo de 2019
dc.format.extent.es.fl_str_mv 19 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Castañeda, Á., Robledo, G., y Monzón, P. "Smoothness of topological equivalence on the half line for nonautonomous systems". Proceedings of the Royal Society of Edinburgh: Section A Mathematics. [en línea]. 2019. pp. 1-19. DOI:10.1017/prm.2019.32
dc.identifier.doi.none.fl_str_mv doi.org/10.1017/prm.2019.32
dc.identifier.eissn.none.fl_str_mv 1473-7124
dc.identifier.issn.none.fl_str_mv 0308-2105
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/25157
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv Cambridge University Press
dc.relation.ispartof.en.fl_str_mv Proceedings of the Royal Society of Edinburgh : Section A Mathematics, pp. 1-19.
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.en.fl_str_mv Topological equivalence
Nonautonomous differential equations
Nonautonomous hyperbolicity
Uniform asymptotic stability
Diffeomorphism
dc.title.none.fl_str_mv Smoothness of topological equivalence on the half line for nonautonomous systems.
dc.type.en.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description Publicado en línea por Cambridge University Press: 07 de mayo de 2019
eu_rights_str_mv openAccess
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identifier_str_mv Castañeda, Á., Robledo, G., y Monzón, P. "Smoothness of topological equivalence on the half line for nonautonomous systems". Proceedings of the Royal Society of Edinburgh: Section A Mathematics. [en línea]. 2019. pp. 1-19. DOI:10.1017/prm.2019.32
0308-2105
doi.org/10.1017/prm.2019.32
1473-7124
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publishDate 2019
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repository.mail.fl_str_mv mabel.seroubian@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
spelling Castañeda Álvaro, Universidad de Chile. Departamento de Matemáticas.Robledo Gonzalo, Universidad de Chile. Departamento de Matemáticas.Monzón Pablo, Universidad de la República (Uruguay). Facultad de Ingeniería.2020-09-04T16:16:17Z2020-09-04T16:16:17Z2019Castañeda, Á., Robledo, G., y Monzón, P. "Smoothness of topological equivalence on the half line for nonautonomous systems". Proceedings of the Royal Society of Edinburgh: Section A Mathematics. [en línea]. 2019. pp. 1-19. DOI:10.1017/prm.2019.320308-2105https://hdl.handle.net/20.500.12008/25157doi.org/10.1017/prm.2019.321473-7124Publicado en línea por Cambridge University Press: 07 de mayo de 2019We 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 its Cr–smoothness.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2020-09-01T02:07:31Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) CRM19.pdf: 228369 bytes, checksum: 6a14bafb3e150eb547713c108b07ffec (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2020-09-04T15:37:32Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) CRM19.pdf: 228369 bytes, checksum: 6a14bafb3e150eb547713c108b07ffec (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@fic.edu.uy) on 2020-09-04T16:16:17Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) CRM19.pdf: 228369 bytes, checksum: 6a14bafb3e150eb547713c108b07ffec (MD5) Previous issue date: 201919 p.application/pdfenengCambridge University PressProceedings of the Royal Society of Edinburgh : Section A Mathematics, pp. 1-19.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Topological equivalenceNonautonomous differential equationsNonautonomous hyperbolicityUniform asymptotic stabilityDiffeomorphismSmoothness of topological equivalence on the half line for nonautonomous systems.Artículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaCastañeda, ÁlvaroRobledo, GonzaloMonzón, PabloLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/25157/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/25157/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse
spellingShingle Smoothness of topological equivalence on the half line for nonautonomous systems.
Castañeda, Álvaro
Topological equivalence
Nonautonomous differential equations
Nonautonomous hyperbolicity
Uniform asymptotic stability
Diffeomorphism
status_str publishedVersion
title Smoothness of topological equivalence on the half line for nonautonomous systems.
title_full Smoothness of topological equivalence on the half line for nonautonomous systems.
title_fullStr Smoothness of topological equivalence on the half line for nonautonomous systems.
title_full_unstemmed Smoothness of topological equivalence on the half line for nonautonomous systems.
title_short Smoothness of topological equivalence on the half line for nonautonomous systems.
title_sort Smoothness of topological equivalence on the half line for nonautonomous systems.
topic Topological equivalence
Nonautonomous differential equations
Nonautonomous hyperbolicity
Uniform asymptotic stability
Diffeomorphism
url https://hdl.handle.net/20.500.12008/25157