文章基本信息

标题：Equivalence between subshrubs and chaotic bands in the Mandelbrot set
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作者：G. Pastor ; M. Romera ; G. Alvarez 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2006
卷号：2006
DOI：10.1155/DDNS/2006/70471
出版社：Hindawi Publishing Corporation
摘要：We 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.