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Recolector de Ciencia Abierta, RECOLECTA
Doctoral thesis . 1996
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Formas hipernormales y bifurcaciones en sistemas planos y tridimensionales

Authors: Algaba Durán, Antonio;

Formas hipernormales y bifurcaciones en sistemas planos y tridimensionales

Abstract

La tesis doctoral está dividida en dos partes: En la primera (que consta de los cuatro primeros capítulos) se estudia la forma hipernormal. ... ht: 150%; font-family: 'Times New Roman','serif'; font-size: 12pt">En la segunda (formada por los dos últimos capítulos) se analiza el comportamiento dinámico y de bifurcaciones de un sistema electrónico. En el primer capítulo se formaliza el concepto de forma hipernormal, y se presenta un algoritmo recursivo para su cálculo, el cual resulta ser efectivo tanto desde el punto de vista teórico como el computacional. Asimismo, se obtienen resultados que mejoran sustancialmente los existentes sobre formas normales.En el segundo capítulo se analiza la forma hipernormal bajo C -conjugación y C -equivalencia a orden infinito de la bifurcación de HOPF, y se aplica a la caracterización de la isocronia de centros.En los capítulos tercero y cuarto se trata la forma hipernormal bajo las relaciones anteriormente citadas a orden infinito para las bifurcaciones de Takens-Bogdanov y HOPF-cero.En los dos últimos capítulos se analiza un oscilador electrónico, estudiando las distintas degeneraciones lineales que aparecen. También abordamos el análisis teórico de las degeneraciones no lineales de la bifurcación HOPF-Pitchfork que presenta dicho oscilador.En estos capítulos son de gran utilidad los algoritmos para el cálculo de formas hipernormales desarrollados en los capítulos anteriores.

Country
Spain
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Keywords

Bifurcación, Teoría de la

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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