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Título

Equivalence between subshrubs and chaotic bands in the Mandelbrot set

AutorPastor, Gerardo; Romera, Miguel; Álvarez Marañón, Gonzalo; Arroyo Guardeño, David ; Montoya Vitini, Fausto
Palabras claveMandelbrot set
Chaotic bands
Subshrubs
Transformation rules
One-dimensional route
Nonlinear science
Fecha de publicación13-mar-2006
EditorHindawi Publishing Corporation
CitaciónDiscrete Dynamics in Nature and Society 2006: 70471 (2006)
ResumenWe study in depth the equivalence between subshrubs and chaotic bands in the Mandelbrot set. In order to do so, we introduce the rules for chaotic bands and the rules for subshrubs, as well as the transformation rules that allow us to interchange them. From all the denominations of a chaotic band, we show the canonical form; that is, the one associated to the hyperbolic component that generates such a chaotic band. Starting from the study of the one-dimensional route, we fulfil an inductive study that gives a generalization of the shrub concept.
Descripción25 pages, 7 figures.-- This is an open access article distributed under the Creative Commons Attribution License.
Versión del editorhttp://dx.doi.org/10.1155/DDNS/2006/70471
URIhttp://hdl.handle.net/10261/8872
DOI10.1155/DDNS/2006/70471
ISSN1026-0226
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