Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics

Detalhes bibliográficos
Autor(a) principal: Neelakshi Joshi
Data de Publicação: 2020
Tipo de documento: Tese
Idioma: eng
Título da fonte: Biblioteca Digital de Teses e Dissertações do INPE
Texto Completo: http://urlib.net/sid.inpe.br/mtc-m21c/2020/04.17.16.01
Resumo: Many dynamic processes in space physics can be investigated from the study of nonlinear fluctuations observed from instruments with high temporal and spectral resolution. In this thesis, it is presented, for the first time, the characterization of inhomogeneous turbulence as a possible cause of the spectral deviations found for the variables associated with the instability of the ionospheric and solar plasma. Algorithms based on formalisms for the analysis of monofractal and multifractal detrended fluctuation (DFA-MFDFA) were implemented. To validate the results obtained from the multifractal analysis, the theoretical framework for the energy cascade, based on twoscale Cantor set, a formalism known as the p model, was also implemented, tested and used. The multiplicity of intermittent behavior of plasma irregularities in the Type I solar emissions, the ionospheric F region and the E-F valley region were characterized by the MFDFA, including the respective validations through the p model spectra. The multifractal spectra are presented for the three case studies in space physics. In all three cases, the hypothesis of a non homogeneous multiplicative cascade process for the distribution of turbulent energy is confirmed by the spectra. Also, the same analytical computational procedure has been discussed for applications in complex systems in general, considering, for example, the modelling of armed conflict time series.
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spelling info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisMultifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physicsAnálise do multifractal e cascade p model para caracterizar não homogênio turbulência na física espacial2020-04-22Reinaldo Roberto RosaStephan StephanyFrancisco Carlos Rocha FernandesJuan Alejandro ValdiviaNeelakshi JoshiInstituto Nacional de Pesquisas Espaciais (INPE)Programa de Pós-Graduação do INPE em Computação AplicadaINPEBRMFDFADFAp modelspace plasma irregularitiessolar type I noise stormirregularidades plasma espacialemissão solar de tempestade de ruído do tipo IMany dynamic processes in space physics can be investigated from the study of nonlinear fluctuations observed from instruments with high temporal and spectral resolution. In this thesis, it is presented, for the first time, the characterization of inhomogeneous turbulence as a possible cause of the spectral deviations found for the variables associated with the instability of the ionospheric and solar plasma. Algorithms based on formalisms for the analysis of monofractal and multifractal detrended fluctuation (DFA-MFDFA) were implemented. To validate the results obtained from the multifractal analysis, the theoretical framework for the energy cascade, based on twoscale Cantor set, a formalism known as the p model, was also implemented, tested and used. The multiplicity of intermittent behavior of plasma irregularities in the Type I solar emissions, the ionospheric F region and the E-F valley region were characterized by the MFDFA, including the respective validations through the p model spectra. The multifractal spectra are presented for the three case studies in space physics. In all three cases, the hypothesis of a non homogeneous multiplicative cascade process for the distribution of turbulent energy is confirmed by the spectra. Also, the same analytical computational procedure has been discussed for applications in complex systems in general, considering, for example, the modelling of armed conflict time series.Muitos processos dinâmicos em física espacial podem ser investigados a partir do estudo de flutuações não-lineares observadas a partir de instrumentos com alta resolução temporal e espectral. Nesta tese, é apresentada, pela primeira vez, a caracterização de turbulência não homogênea como possível causa dos desvios espectrais encontrados para as variáveis associadas à instabilidade do plasma ionosférico e solar. Algoritmos baseados nos formalismos para a análise de flutuação destendenciada monofractal e multifractal (DFA-MFDFA) foram implementados. Para validar os resultados obtidos da análise multifractal, o framework teórico baseado no conjunto de Cantor de duas escalas, formalismo conhecido como cascata p model, também foi implementado, testado e utilizado para validar dos resultados espectrais. A multiplicidade de comportamentos intermitentes das irregularidades no plasma das emissões solares do Tipo I, da região F ionosférica e da região do vale E-F foram caracterizadas por análise de flutuação destendenciada multifractal, incluindo as respectivas validações através do espectros do p model. Os espectros multifractais são apresentados para os três casos de estudo em física espacial. Nos três casos, a hipótese de existência de processo de cascata multiplicativa não homogênea para a distribuição de energia turbulenta é confirmada pelos espectros. Também discutimos o mesmo procedimento computacional analítico para aplicações em sistemas complexos em geral, considerando, por exemplo, a modelagem de séries temporais de conflitos armados.http://urlib.net/sid.inpe.br/mtc-m21c/2020/04.17.16.01info:eu-repo/semantics/openAccessengreponame:Biblioteca Digital de Teses e Dissertações do INPEinstname:Instituto Nacional de Pesquisas Espaciais (INPE)instacron:INPE2021-07-31T06:56:18Zoai:urlib.net:sid.inpe.br/mtc-m21c/2020/04.17.16.01.40-0Biblioteca Digital de Teses e Dissertaçõeshttp://bibdigital.sid.inpe.br/PUBhttp://bibdigital.sid.inpe.br/col/iconet.com.br/banon/2003/11.21.21.08/doc/oai.cgiopendoar:32772021-07-31 06:56:18.215Biblioteca Digital de Teses e Dissertações do INPE - Instituto Nacional de Pesquisas Espaciais (INPE)false
dc.title.en.fl_str_mv Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
dc.title.alternative.pt.fl_str_mv Análise do multifractal e cascade p model para caracterizar não homogênio turbulência na física espacial
title Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
spellingShingle Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
Neelakshi Joshi
title_short Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
title_full Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
title_fullStr Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
title_full_unstemmed Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
title_sort Multifractal analysis and modeling of time series for characterizing nonhomogeneous turbulence in space physics
author Neelakshi Joshi
author_facet Neelakshi Joshi
author_role author
dc.contributor.advisor1.fl_str_mv Reinaldo Roberto Rosa
dc.contributor.advisor2.fl_str_mv Stephan Stephany
dc.contributor.referee1.fl_str_mv Francisco Carlos Rocha Fernandes
dc.contributor.referee2.fl_str_mv Juan Alejandro Valdivia
dc.contributor.author.fl_str_mv Neelakshi Joshi
contributor_str_mv Reinaldo Roberto Rosa
Stephan Stephany
Francisco Carlos Rocha Fernandes
Juan Alejandro Valdivia
dc.description.abstract.por.fl_txt_mv Many dynamic processes in space physics can be investigated from the study of nonlinear fluctuations observed from instruments with high temporal and spectral resolution. In this thesis, it is presented, for the first time, the characterization of inhomogeneous turbulence as a possible cause of the spectral deviations found for the variables associated with the instability of the ionospheric and solar plasma. Algorithms based on formalisms for the analysis of monofractal and multifractal detrended fluctuation (DFA-MFDFA) were implemented. To validate the results obtained from the multifractal analysis, the theoretical framework for the energy cascade, based on twoscale Cantor set, a formalism known as the p model, was also implemented, tested and used. The multiplicity of intermittent behavior of plasma irregularities in the Type I solar emissions, the ionospheric F region and the E-F valley region were characterized by the MFDFA, including the respective validations through the p model spectra. The multifractal spectra are presented for the three case studies in space physics. In all three cases, the hypothesis of a non homogeneous multiplicative cascade process for the distribution of turbulent energy is confirmed by the spectra. Also, the same analytical computational procedure has been discussed for applications in complex systems in general, considering, for example, the modelling of armed conflict time series.
Muitos processos dinâmicos em física espacial podem ser investigados a partir do estudo de flutuações não-lineares observadas a partir de instrumentos com alta resolução temporal e espectral. Nesta tese, é apresentada, pela primeira vez, a caracterização de turbulência não homogênea como possível causa dos desvios espectrais encontrados para as variáveis associadas à instabilidade do plasma ionosférico e solar. Algoritmos baseados nos formalismos para a análise de flutuação destendenciada monofractal e multifractal (DFA-MFDFA) foram implementados. Para validar os resultados obtidos da análise multifractal, o framework teórico baseado no conjunto de Cantor de duas escalas, formalismo conhecido como cascata p model, também foi implementado, testado e utilizado para validar dos resultados espectrais. A multiplicidade de comportamentos intermitentes das irregularidades no plasma das emissões solares do Tipo I, da região F ionosférica e da região do vale E-F foram caracterizadas por análise de flutuação destendenciada multifractal, incluindo as respectivas validações através do espectros do p model. Os espectros multifractais são apresentados para os três casos de estudo em física espacial. Nos três casos, a hipótese de existência de processo de cascata multiplicativa não homogênea para a distribuição de energia turbulenta é confirmada pelos espectros. Também discutimos o mesmo procedimento computacional analítico para aplicações em sistemas complexos em geral, considerando, por exemplo, a modelagem de séries temporais de conflitos armados.
description Many dynamic processes in space physics can be investigated from the study of nonlinear fluctuations observed from instruments with high temporal and spectral resolution. In this thesis, it is presented, for the first time, the characterization of inhomogeneous turbulence as a possible cause of the spectral deviations found for the variables associated with the instability of the ionospheric and solar plasma. Algorithms based on formalisms for the analysis of monofractal and multifractal detrended fluctuation (DFA-MFDFA) were implemented. To validate the results obtained from the multifractal analysis, the theoretical framework for the energy cascade, based on twoscale Cantor set, a formalism known as the p model, was also implemented, tested and used. The multiplicity of intermittent behavior of plasma irregularities in the Type I solar emissions, the ionospheric F region and the E-F valley region were characterized by the MFDFA, including the respective validations through the p model spectra. The multifractal spectra are presented for the three case studies in space physics. In all three cases, the hypothesis of a non homogeneous multiplicative cascade process for the distribution of turbulent energy is confirmed by the spectra. Also, the same analytical computational procedure has been discussed for applications in complex systems in general, considering, for example, the modelling of armed conflict time series.
publishDate 2020
dc.date.issued.fl_str_mv 2020-04-22
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
status_str publishedVersion
format doctoralThesis
dc.identifier.uri.fl_str_mv http://urlib.net/sid.inpe.br/mtc-m21c/2020/04.17.16.01
url http://urlib.net/sid.inpe.br/mtc-m21c/2020/04.17.16.01
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Instituto Nacional de Pesquisas Espaciais (INPE)
dc.publisher.program.fl_str_mv Programa de Pós-Graduação do INPE em Computação Aplicada
dc.publisher.initials.fl_str_mv INPE
dc.publisher.country.fl_str_mv BR
publisher.none.fl_str_mv Instituto Nacional de Pesquisas Espaciais (INPE)
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações do INPE
instname:Instituto Nacional de Pesquisas Espaciais (INPE)
instacron:INPE
reponame_str Biblioteca Digital de Teses e Dissertações do INPE
collection Biblioteca Digital de Teses e Dissertações do INPE
instname_str Instituto Nacional de Pesquisas Espaciais (INPE)
instacron_str INPE
institution INPE
repository.name.fl_str_mv Biblioteca Digital de Teses e Dissertações do INPE - Instituto Nacional de Pesquisas Espaciais (INPE)
repository.mail.fl_str_mv
publisher_program_txtF_mv Programa de Pós-Graduação do INPE em Computação Aplicada
contributor_advisor1_txtF_mv Reinaldo Roberto Rosa
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