Estructura topológica de flujos caóticos

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The analysis of data has been enriched with the tools of non linear dynamics. For the case of deterministic systems with chaotic behaviour, the topologicaldescription of reconstructed flows has been very successful. However,the state of the subject at the beginning of this had the restriction of dim...

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Autor principal: Sciamarella, Denisse
Otros Autores: Mindlin, Gabriel B.
Formato: Tesis doctoral publishedVersion
Lenguaje:Español
Publicado: Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales 2001
Materias:
ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
Acceso en línea:https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=aextesis&d=tesis_n3356_Sciamarella_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-tesis_n3356_Sciamarella_oai
record_format dspace
spelling I28-R145-tesis_n3356_Sciamarella_oai2024-09-02 Mindlin, Gabriel B. Sciamarella, Denisse 2001 The analysis of data has been enriched with the tools of non linear dynamics. For the case of deterministic systems with chaotic behaviour, the topologicaldescription of reconstructed flows has been very successful. However,the state of the subject at the beginning of this had the restriction of dimensionality (three) for the underlying phase spaces. This thesis presents atopological technique for data analysis based on the description of branchedmanifolds that hold the underlying dynamics. The description is carriedout through a series of invariants of algebraic topology known as homologygroups. The method extends the applicability of the topological approachto the analysis of data, for short and noisy temporal series and for seriesembedded in a number of dimensions higher than three. Apart from theintroduction to this perspective, we present algorythms, numerical examplesand experimetnal examples of this technique. Fil: Sciamarella, Denisse. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella spa Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar ANALISIS DE SERIES TEMPORALES CAOS TEMPLADOS GRUPOS DE HOMOLOGIA TEMPORAL SERIES ANALYSIS CHAOS TEMPLATES HOMOLOGY GROUPS Estructura topológica de flujos caóticos info:eu-repo/semantics/doctoralThesis info:ar-repo/semantics/tesis doctoral info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=aextesis&d=tesis_n3356_Sciamarella_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
language Español
orig_language_str_mv spa
topic ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
spellingShingle ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
Sciamarella, Denisse
Estructura topológica de flujos caóticos
topic_facet ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
description The analysis of data has been enriched with the tools of non linear dynamics. For the case of deterministic systems with chaotic behaviour, the topologicaldescription of reconstructed flows has been very successful. However,the state of the subject at the beginning of this had the restriction of dimensionality (three) for the underlying phase spaces. This thesis presents atopological technique for data analysis based on the description of branchedmanifolds that hold the underlying dynamics. The description is carriedout through a series of invariants of algebraic topology known as homologygroups. The method extends the applicability of the topological approachto the analysis of data, for short and noisy temporal series and for seriesembedded in a number of dimensions higher than three. Apart from theintroduction to this perspective, we present algorythms, numerical examplesand experimetnal examples of this technique.
author2 Mindlin, Gabriel B.
author_facet Mindlin, Gabriel B.
Sciamarella, Denisse
format Tesis doctoral
Tesis doctoral
publishedVersion
author Sciamarella, Denisse
author_sort Sciamarella, Denisse
title Estructura topológica de flujos caóticos
title_short Estructura topológica de flujos caóticos
title_full Estructura topológica de flujos caóticos
title_fullStr Estructura topológica de flujos caóticos
title_full_unstemmed Estructura topológica de flujos caóticos
title_sort estructura topológica de flujos caóticos
publisher Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales
publishDate 2001
url https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=aextesis&d=tesis_n3356_Sciamarella_oai
work_keys_str_mv AT sciamarelladenisse estructuratopologicadeflujoscaoticos
_version_ 1824354707416547328

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