Catálogo de publicaciones - tesis
Título de Acceso Abierto
Estructura topológica de flujos caóticos
Denisse Sciamarella Gabriel B. Mindlin
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Resumen/Descripción – provisto por el repositorio digital
The analysis of data has been enriched with the tools of non linear dynamics. For the case of deterministic systems with chaotic behaviour, the topological description 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 a topological technique for data analysis based on the description of branched manifolds that hold the underlying dynamics. The description is carried out through a series of invariants of algebraic topology known as homology groups. The method extends the applicability of the topological approach to the analysis of data, for short and noisy temporal series and for series embedded in a number of dimensions higher than three. Apart from the introduction to this perspective, we present algorythms, numerical examples and experimetnal examples of this technique.Palabras clave – provistas por el repositorio digital
ANALISIS DE SERIES TEMPORALES; CAOS; TEMPLADOS; GRUPOS DE HOMOLOGIA; TEMPORAL SERIES ANALYSIS; CHAOS; TEMPLATES; HOMOLOGY GROUPS
Disponibilidad
| Institución detectada | Año de publicación | Navegá | Descargá | Solicitá |
|---|---|---|---|---|
| No requiere | 2001 | Biblioteca Digital (FCEN-UBA) (SNRD) |
|
Información
Tipo de recurso:
tesis
Idiomas de la publicación
- español castellano
País de edición
Argentina
Fecha de publicación
2001
Información sobre licencias CC