The attractor of piecewise expanding maps of the interval

Detalhes bibliográficos
Autor(a) principal: Del Magno, Gianluigi
Data de Publicação: 2020
Outros Autores: Dias, João Lopes, Duarte, Pedro, Galvão, José Pedro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/28893
Resumo: We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not change under small perturbations of the map. Our methods provide a topological description of the attractor and give an elementary proof of the density of periodic orbits.
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spelling The attractor of piecewise expanding maps of the intervalExpanding MapAttractorStabilityWe consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not change under small perturbations of the map. Our methods provide a topological description of the attractor and give an elementary proof of the density of periodic orbits.World Scientific Publishing Co. Pte LtdRepositório da Universidade de LisboaDel Magno, GianluigiDias, João LopesDuarte, PedroGalvão, José Pedro2023-10-04T15:15:18Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/28893engDel Magno, Gianluigi … [et al.] .(2020). “The attractor of piecewise expanding maps of the interval “. Stochastics and Dynamics, Vol. 20, No. 2: 2050009doi.org/10.1142/S02194937205000941793-6799metadata only accessinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-10-08T01:32:18Zoai:www.repository.utl.pt:10400.5/28893Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:33:56.729923Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The attractor of piecewise expanding maps of the interval
title The attractor of piecewise expanding maps of the interval
spellingShingle The attractor of piecewise expanding maps of the interval
Del Magno, Gianluigi
Expanding Map
Attractor
Stability
title_short The attractor of piecewise expanding maps of the interval
title_full The attractor of piecewise expanding maps of the interval
title_fullStr The attractor of piecewise expanding maps of the interval
title_full_unstemmed The attractor of piecewise expanding maps of the interval
title_sort The attractor of piecewise expanding maps of the interval
author Del Magno, Gianluigi
author_facet Del Magno, Gianluigi
Dias, João Lopes
Duarte, Pedro
Galvão, José Pedro
author_role author
author2 Dias, João Lopes
Duarte, Pedro
Galvão, José Pedro
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Del Magno, Gianluigi
Dias, João Lopes
Duarte, Pedro
Galvão, José Pedro
dc.subject.por.fl_str_mv Expanding Map
Attractor
Stability
topic Expanding Map
Attractor
Stability
description We consider piecewise expanding maps of the interval with finitely many branches of monotonicity and show that they are generically combinatorially stable, i.e. the number of ergodic attractors and their corresponding mixing components do not change under small perturbations of the map. Our methods provide a topological description of the attractor and give an elementary proof of the density of periodic orbits.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
2023-10-04T15:15:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.5/28893
url http://hdl.handle.net/10400.5/28893
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Del Magno, Gianluigi … [et al.] .(2020). “The attractor of piecewise expanding maps of the interval “. Stochastics and Dynamics, Vol. 20, No. 2: 2050009
doi.org/10.1142/S0219493720500094
1793-6799
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific Publishing Co. Pte Ltd
publisher.none.fl_str_mv World Scientific Publishing Co. Pte Ltd
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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