Stability and expansivity of tent map

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We discuss the stability and the expansivity of the tent map f: [0, 1] ? [0, 1] defined by f(x) = 2 min{x, 1 ? x} for 0 ? x ? 1. Indeed, we show that f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable, orbit shift cw-expansiv...

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Detalles Bibliográficos
Autores: Carrasco-Olivera D., Morales C.A., Villavicencio H.
Formato: artículo
Fecha de Publicación:2021
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/2400
Enlace del recurso:https://hdl.handle.net/20.500.12390/2400
https://doi.org/10.1090/proc/15244
Nivel de acceso:acceso abierto
Materia:Topologically stable
Shadowing property
Tent map
http://purl.org/pe-repo/ocde/ford#5.02.04
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spelling Publicationrp05888600rp05889600rp05887600Carrasco-Olivera D.Morales C.A.Villavicencio H.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2021https://hdl.handle.net/20.500.12390/2400https://doi.org/10.1090/proc/152442-s2.0-85100022388We discuss the stability and the expansivity of the tent map f: [0, 1] ? [0, 1] defined by f(x) = 2 min{x, 1 ? x} for 0 ? x ? 1. Indeed, we show that f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable, orbit shift cw-expansive, and orbit shift ?-persistent. © 2020 American Mathematical SocietyConsejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengAmerican Mathematical SocietyProceedings of the American Mathematical Societyinfo:eu-repo/semantics/openAccessTopologically stableShadowing property-1Tent map-1http://purl.org/pe-repo/ocde/ford#5.02.04-1Stability and expansivity of tent mapinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/2400oai:repositorio.concytec.gob.pe:20.500.12390/24002024-05-30 16:07:55.233http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="34e1e9e2-ec2d-454b-a486-86f3c33e4bc6"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Stability and expansivity of tent map</Title> <PublishedIn> <Publication> <Title>Proceedings of the American Mathematical Society</Title> </Publication> </PublishedIn> <PublicationDate>2021</PublicationDate> <DOI>https://doi.org/10.1090/proc/15244</DOI> <SCP-Number>2-s2.0-85100022388</SCP-Number> <Authors> <Author> <DisplayName>Carrasco-Olivera D.</DisplayName> <Person id="rp05888" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Morales C.A.</DisplayName> <Person id="rp05889" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Villavicencio H.</DisplayName> <Person id="rp05887" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>American Mathematical Society</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Topologically stable</Keyword> <Keyword>Shadowing property</Keyword> <Keyword>Tent map</Keyword> <Abstract>We discuss the stability and the expansivity of the tent map f: [0, 1] ? [0, 1] defined by f(x) = 2 min{x, 1 ? x} for 0 ? x ? 1. Indeed, we show that f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable, orbit shift cw-expansive, and orbit shift ?-persistent. © 2020 American Mathematical Society</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Stability and expansivity of tent map
title Stability and expansivity of tent map
spellingShingle Stability and expansivity of tent map
Carrasco-Olivera D.
Topologically stable
Shadowing property
Tent map
http://purl.org/pe-repo/ocde/ford#5.02.04
title_short Stability and expansivity of tent map
title_full Stability and expansivity of tent map
title_fullStr Stability and expansivity of tent map
title_full_unstemmed Stability and expansivity of tent map
title_sort Stability and expansivity of tent map
author Carrasco-Olivera D.
author_facet Carrasco-Olivera D.
Morales C.A.
Villavicencio H.
author_role author
author2 Morales C.A.
Villavicencio H.
author2_role author
author
dc.contributor.author.fl_str_mv Carrasco-Olivera D.
Morales C.A.
Villavicencio H.
dc.subject.none.fl_str_mv Topologically stable
topic Topologically stable
Shadowing property
Tent map
http://purl.org/pe-repo/ocde/ford#5.02.04
dc.subject.es_PE.fl_str_mv Shadowing property
Tent map
dc.subject.ocde.none.fl_str_mv http://purl.org/pe-repo/ocde/ford#5.02.04
description We discuss the stability and the expansivity of the tent map f: [0, 1] ? [0, 1] defined by f(x) = 2 min{x, 1 ? x} for 0 ? x ? 1. Indeed, we show that f is neither topologically stable nor orbit shift topologically stable nor countably-expansive but is cw-topologically stable, orbit shift cw-expansive, and orbit shift ?-persistent. © 2020 American Mathematical Society
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/2400
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1090/proc/15244
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85100022388
url https://hdl.handle.net/20.500.12390/2400
https://doi.org/10.1090/proc/15244
identifier_str_mv 2-s2.0-85100022388
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Proceedings of the American Mathematical Society
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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score 13.425424
Stability and expansivity of tent map
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La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

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