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Título

Chaotic bands in the Mandelbrot set

Autor Pastor, Gerardo; Romera, Miguel; Álvarez Marañón, Gonzalo; Montoya Vitini, Fausto
Palabras clave Mandelbrot set
Chaotic bands
Shrubs
Hyperbolic components ordering
Misiurewicz points ordering
Fecha de publicación 13-ago-2004
EditorElsevier
Citación Computers & Graphics 28(5): 779-784 (2004)
ResumenHyperbolic components and Misiurewicz points of the chaotic region of the Mandelbrot set are located in what we call shrubs. Each shrub has two well-differentiated parts. The first one, shrub(0), corresponds to the main branch of the shrub. The second one, shrub(r), corresponds to all the other branches of the shrub. In this paper, we have focused on the ordering of the hyperbolic components and Misiurewicz points located at the shrub(0) of any shrub of the Mandelbrot set. We have seen that each shrub(0) is made up of infinite chaotic bands, each one corresponding to a disk of the period-doubling cascade of the hyperbolic component from where the shrub originates.
Descripción 6 pages, 5 figures.-- PACS nr.: 05.45.+b.-- Printed version published on Oct 2004.
Versión del editorhttp://dx.doi.org/10.1016/j.cag.2004.06.015
URI http://hdl.handle.net/10261/8913
DOI10.1016/j.cag.2004.06.015
ISSN0097-8493
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