Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems

Detalhes bibliográficos
Autor(a) principal: Alves, João Ferreira
Data de Publicação: 2015
Outros Autores: Silva, Luis
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/6184
Resumo: In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.
id RCAP_8944398e3ea15767d712fafa658f4275
oai_identifier_str oai:repositorio.ipl.pt:10400.21/6184
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Nonautonomous graphs and topological entropy of nonautonomous Lorenz systemsNonautonomous dynamical systemsSymbolic dynamicsGraphsEntropyIn this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.World Scientific Publishing CO PTE LTDRCIPLAlves, João FerreiraSilva, Luis2016-05-11T15:55:56Z2015-062015-06-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/6184engALVES, João Ferreira; SILVA, Luís Manuel Ferreira da - Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems. International Journal of Bifurcation and Chaos. ISSN. 0218-1274. Vol. 25, N.º 6 (2015), pp. 1550079-1-1550079-9.0218-127410.1142/S0218127415500790metadata 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:RCAAP2023-08-03T09:50:41Zoai:repositorio.ipl.pt:10400.21/6184Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:15:22.031088Repositório 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 Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
title Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
spellingShingle Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
Alves, João Ferreira
Nonautonomous dynamical systems
Symbolic dynamics
Graphs
Entropy
title_short Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
title_full Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
title_fullStr Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
title_full_unstemmed Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
title_sort Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems
author Alves, João Ferreira
author_facet Alves, João Ferreira
Silva, Luis
author_role author
author2 Silva, Luis
author2_role author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Alves, João Ferreira
Silva, Luis
dc.subject.por.fl_str_mv Nonautonomous dynamical systems
Symbolic dynamics
Graphs
Entropy
topic Nonautonomous dynamical systems
Symbolic dynamics
Graphs
Entropy
description In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.
publishDate 2015
dc.date.none.fl_str_mv 2015-06
2015-06-01T00:00:00Z
2016-05-11T15:55:56Z
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/10400.21/6184
url http://hdl.handle.net/10400.21/6184
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ALVES, João Ferreira; SILVA, Luís Manuel Ferreira da - Nonautonomous graphs and topological entropy of nonautonomous Lorenz systems. International Journal of Bifurcation and Chaos. ISSN. 0218-1274. Vol. 25, N.º 6 (2015), pp. 1550079-1-1550079-9.
0218-1274
10.1142/S0218127415500790
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
repository.mail.fl_str_mv
_version_ 1799133412075765760

Registros relacionados