Estructura topológica de flujos caóticos
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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Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales
2001
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Acceso en línea: | https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella |
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tesis:tesis_n3356_Sciamarella2023-10-02T19:47:49Z Estructura topológica de flujos caóticos Sciamarella, Denisse Mindlin, Gabriel B. ANALISIS DE SERIES TEMPORALES CAOS TEMPLADOS GRUPOS DE HOMOLOGIA TEMPORAL SERIES ANALYSIS CHAOS TEMPLATES HOMOLOGY GROUPS 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales 2001 info:eu-repo/semantics/doctoralThesis info:ar-repo/semantics/tesis doctoral info:eu-repo/semantics/publishedVersion application/pdf spa info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar https://hdl.handle.net/20.500.12110/tesis_n3356_Sciamarella |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 |
work_keys_str_mv |
AT sciamarelladenisse estructuratopologicadeflujoscaoticos |
_version_ |
1782023258780991488 |