Periodic attractors of nonautonomous flat-topped tent systems

Detalhes bibliográficos
Autor(a) principal: Silva, Luis
Data de Publicação: 2019
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/9932
Resumo: In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lambda), lambda is an element of [-1, 1] (N0), generated by a one-parameter family of flat-topped tent maps g(alpha) (x), i.e., f(k)(x, lambda) = g(lambda k) (x) for all k is an element of N-0. We will reinterpret the concept of attractive periodic orbit in this context, through the existence of some periodic, invariant and attractive nonautonomous sets and establish sufficient conditions over the parameter sequences for the existence of such periodic attractors.
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spelling Periodic attractors of nonautonomous flat-topped tent systemsNonautonomous dynamical systemsAttractorsSymbolic dynamicsIn this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lambda), lambda is an element of [-1, 1] (N0), generated by a one-parameter family of flat-topped tent maps g(alpha) (x), i.e., f(k)(x, lambda) = g(lambda k) (x) for all k is an element of N-0. We will reinterpret the concept of attractive periodic orbit in this context, through the existence of some periodic, invariant and attractive nonautonomous sets and establish sufficient conditions over the parameter sequences for the existence of such periodic attractors.American Institute of Mathematical SciencesRCIPLSilva, Luis2019-05-03T14:03:09Z2019-042019-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/9932engSILVA, Luís – Periodic attractors of nonautonomous flat-topped tent systems. Discrete and Continuous Dynamical Systems Series B. ISSN 1531-3492. Vol. 24, N.º 4 (2019), pp. 1867-1874.1531-349210.3934/dcdsb.2018243metadata 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:RCAAP2023-08-03T09:59:16Zoai:repositorio.ipl.pt:10400.21/9932Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:18:26.983772Repositório 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 Periodic attractors of nonautonomous flat-topped tent systems
title Periodic attractors of nonautonomous flat-topped tent systems
spellingShingle Periodic attractors of nonautonomous flat-topped tent systems
Silva, Luis
Nonautonomous dynamical systems
Attractors
Symbolic dynamics
title_short Periodic attractors of nonautonomous flat-topped tent systems
title_full Periodic attractors of nonautonomous flat-topped tent systems
title_fullStr Periodic attractors of nonautonomous flat-topped tent systems
title_full_unstemmed Periodic attractors of nonautonomous flat-topped tent systems
title_sort Periodic attractors of nonautonomous flat-topped tent systems
author Silva, Luis
author_facet Silva, Luis
author_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Silva, Luis
dc.subject.por.fl_str_mv Nonautonomous dynamical systems
Attractors
Symbolic dynamics
topic Nonautonomous dynamical systems
Attractors
Symbolic dynamics
description In this work we will consider a family of nonautonomous dynamical systems x(k)(+1) = f(k)(x(k), lambda), lambda is an element of [-1, 1] (N0), generated by a one-parameter family of flat-topped tent maps g(alpha) (x), i.e., f(k)(x, lambda) = g(lambda k) (x) for all k is an element of N-0. We will reinterpret the concept of attractive periodic orbit in this context, through the existence of some periodic, invariant and attractive nonautonomous sets and establish sufficient conditions over the parameter sequences for the existence of such periodic attractors.
publishDate 2019
dc.date.none.fl_str_mv 2019-05-03T14:03:09Z
2019-04
2019-04-01T00:00:00Z
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/10400.21/9932
url http://hdl.handle.net/10400.21/9932
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv SILVA, Luís – Periodic attractors of nonautonomous flat-topped tent systems. Discrete and Continuous Dynamical Systems Series B. ISSN 1531-3492. Vol. 24, N.º 4 (2019), pp. 1867-1874.
1531-3492
10.3934/dcdsb.2018243
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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
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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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