And I say to myself: “What a fractional world!”

Bibliographic Details
Main Author: Machado, J. A. Tenreiro
Publication Date: 2011
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/4102
Summary: This paper discusses several complex systems in the perspective of fractional dynamics. For prototype systems are considered the cases of deoxyribonucleic acid decoding, financial evolution, earthquakes events, global warming trend, and musical rhythms. The application of the Fourier transform and of the power law trendlines leads to an assertive representation of the dynamics and to a simple comparison of their characteristics. Moreover, the gallery of different systems, both natural and man made, demonstrates the richness of phenomena that can be described and studied with the tools of fractional calculus.
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spelling And I say to myself: “What a fractional world!”Fractional calculusFourier analysisDNAFinancial indicesEarthquakesGlobal warmingMusicThis paper discusses several complex systems in the perspective of fractional dynamics. For prototype systems are considered the cases of deoxyribonucleic acid decoding, financial evolution, earthquakes events, global warming trend, and musical rhythms. The application of the Fourier transform and of the power law trendlines leads to an assertive representation of the dynamics and to a simple comparison of their characteristics. Moreover, the gallery of different systems, both natural and man made, demonstrates the richness of phenomena that can be described and studied with the tools of fractional calculus.SpringerREPOSITÓRIO P.PORTOMachado, J. A. Tenreiro2014-03-05T16:21:02Z20112011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4102eng1311-045410.2478/s13540-011-0037-1info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:20:00Zoai:recipp.ipp.pt:10400.22/4102Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:52:05.902526Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv And I say to myself: “What a fractional world!”
title And I say to myself: “What a fractional world!”
spellingShingle And I say to myself: “What a fractional world!”
Machado, J. A. Tenreiro
Fractional calculus
Fourier analysis
DNA
Financial indices
Earthquakes
Global warming
Music
title_short And I say to myself: “What a fractional world!”
title_full And I say to myself: “What a fractional world!”
title_fullStr And I say to myself: “What a fractional world!”
title_full_unstemmed And I say to myself: “What a fractional world!”
title_sort And I say to myself: “What a fractional world!”
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
author_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Fractional calculus
Fourier analysis
DNA
Financial indices
Earthquakes
Global warming
Music
topic Fractional calculus
Fourier analysis
DNA
Financial indices
Earthquakes
Global warming
Music
description This paper discusses several complex systems in the perspective of fractional dynamics. For prototype systems are considered the cases of deoxyribonucleic acid decoding, financial evolution, earthquakes events, global warming trend, and musical rhythms. The application of the Fourier transform and of the power law trendlines leads to an assertive representation of the dynamics and to a simple comparison of their characteristics. Moreover, the gallery of different systems, both natural and man made, demonstrates the richness of phenomena that can be described and studied with the tools of fractional calculus.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-01-01T00:00:00Z
2014-03-05T16:21:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/4102
url http://hdl.handle.net/10400.22/4102
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1311-0454
10.2478/s13540-011-0037-1
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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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