Estructura topológica de flujos caóticos

Autores
Sciamarella, Denisse
Año de publicación
2001
Idioma
español castellano
Tipo de recurso
tesis doctoral
Estado
versión publicada
Colaborador/a o director/a de tesis
Mindlin, Gabriel Bernardo
Descripción
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.
Materia
ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
tesis:tesis_n3356_Sciamarella
Acceder
id BDUBAFCEN_d686bd62a9701c3c693f344b4635739b
oai_identifier_str tesis:tesis_n3356_Sciamarella
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Estructura topológica de flujos caóticosSciamarella, DenisseANALISIS DE SERIES TEMPORALESCAOSTEMPLADOSGRUPOS DE HOMOLOGIATEMPORAL SERIES ANALYSISCHAOSTEMPLATESHOMOLOGY GROUPSThe 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.Universidad de Buenos Aires. Facultad de Ciencias Exactas y NaturalesMindlin, Gabriel Bernardo2001info:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_db06info:ar-repo/semantics/tesisDoctoralapplication/pdfhttps://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarellaspainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/arreponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCEN2025-10-16T09:28:42Ztesis:tesis_n3356_SciamarellaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-16 09:28:43.597Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Estructura topológica de flujos caóticos
title Estructura topológica de flujos caóticos
spellingShingle Estructura topológica de flujos caóticos
Sciamarella, Denisse
ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
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
dc.creator.none.fl_str_mv Sciamarella, Denisse
author Sciamarella, Denisse
author_facet Sciamarella, Denisse
author_role author
dc.contributor.none.fl_str_mv Mindlin, Gabriel Bernardo
dc.subject.none.fl_str_mv ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
topic ANALISIS DE SERIES TEMPORALES
CAOS
TEMPLADOS
GRUPOS DE HOMOLOGIA
TEMPORAL SERIES ANALYSIS
CHAOS
TEMPLATES
HOMOLOGY GROUPS
dc.description.none.fl_txt_mv 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.
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.
publishDate 2001
dc.date.none.fl_str_mv 2001
dc.type.none.fl_str_mv info:eu-repo/semantics/doctoralThesis
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_db06
info:ar-repo/semantics/tesisDoctoral
format doctoralThesis
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella
url https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella
dc.language.none.fl_str_mv spa
language spa
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales
publisher.none.fl_str_mv Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales
dc.source.none.fl_str_mv reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.712165

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