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Título

Algorithm for external argument calculation of the nodes of a shrub in the Mandelbrot set

Autor Pastor, Gerardo; Romera, Miguel; Álvarez Marañón, Gonzalo; Arroyo Guardeño, David ; Orúe, Amalia B.; Fernández Mármol, Verónica; Montoya Vitini, Fausto
Palabras clave External arguments
Binary expansions
Nodes
Mandelbrot set
Shrub
Misiurewicz points
Nonlinear science
Fecha de publicación jun-2008
EditorWorld Scientific Publishing
Citación Fractals 16(2): 159-168 (2008)
ResumenMisiurewicz points are essential points of the Mandelbrot set. External arguments are the most useful tool in order to analyze these points; therefore, it is important to go deeper in the study of the external arguments' calculation of these points. In this paper we introduce an algorithm to calculate the external arguments of the branch points, or nodes, of a shrub, since such nodes are the most outstanding Misiurewicz points of the chaotic region of the Mandelbrot set. Devaney and Moreno-Rocha had already presented a paper where they calculated the external arguments of one of these Misiurewicz points, the main node of a shrub. Our algorithm widens the study of Devaney and Moreno-Rocha because it allows one to calculate the external arguments of any node of the shrub.
Descripción 10 pages, 4 figures.
Versión del editorhttp://dx.doi.org/10.1142/S0218348X08003855
URI http://hdl.handle.net/10261/8869
DOI10.1142/S0218348X08003855
ISSN0218-348X
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