Entropy Analysis of a Railway Network’s Complexity

Detalhes bibliográficos
Autor(a) principal: Valério, Duarte
Data de Publicação: 2016
Outros Autores: Lopes, António M., Machado, J.A.Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9444
Resumo: Railway networks are among the many physical systems that reveal a fractal structure. This paper studies the Portuguese railway system, and analyzes how it evolved over time, namely what concerns the structure of its different levels, and its distribution over the territory. Different mathematical tools are adopted, such as fractal dimension, entropy and state space portrait. The results are consistent with the historical evolution of the network.
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spelling Entropy Analysis of a Railway Network’s ComplexityRailway networkEntropyFractal dimensionFractional calculusRailway networks are among the many physical systems that reveal a fractal structure. This paper studies the Portuguese railway system, and analyzes how it evolved over time, namely what concerns the structure of its different levels, and its distribution over the territory. Different mathematical tools are adopted, such as fractal dimension, entropy and state space portrait. The results are consistent with the historical evolution of the network.MDPIRepositório Científico do Instituto Politécnico do PortoValério, DuarteLopes, António M.Machado, J.A.Tenreiro2017-01-26T14:46:17Z20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9444eng10.3390/e18110388info: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:RCAAP2023-03-13T12:50:50Zoai:recipp.ipp.pt:10400.22/9444Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:02.689617Repositório 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 Entropy Analysis of a Railway Network’s Complexity
title Entropy Analysis of a Railway Network’s Complexity
spellingShingle Entropy Analysis of a Railway Network’s Complexity
Valério, Duarte
Railway network
Entropy
Fractal dimension
Fractional calculus
title_short Entropy Analysis of a Railway Network’s Complexity
title_full Entropy Analysis of a Railway Network’s Complexity
title_fullStr Entropy Analysis of a Railway Network’s Complexity
title_full_unstemmed Entropy Analysis of a Railway Network’s Complexity
title_sort Entropy Analysis of a Railway Network’s Complexity
author Valério, Duarte
author_facet Valério, Duarte
Lopes, António M.
Machado, J.A.Tenreiro
author_role author
author2 Lopes, António M.
Machado, J.A.Tenreiro
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Valério, Duarte
Lopes, António M.
Machado, J.A.Tenreiro
dc.subject.por.fl_str_mv Railway network
Entropy
Fractal dimension
Fractional calculus
topic Railway network
Entropy
Fractal dimension
Fractional calculus
description Railway networks are among the many physical systems that reveal a fractal structure. This paper studies the Portuguese railway system, and analyzes how it evolved over time, namely what concerns the structure of its different levels, and its distribution over the territory. Different mathematical tools are adopted, such as fractal dimension, entropy and state space portrait. The results are consistent with the historical evolution of the network.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2017-01-26T14:46:17Z
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/10400.22/9444
url http://hdl.handle.net/10400.22/9444
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/e18110388
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
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
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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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