Determination of Mandelbrot set's hyperbolic component centres

被引：6

作者：

Alvarez, G ^{[1
]}

Romera, M ^{[1
]}

Pastor, G ^{[1
]}

Montoya, F ^{[1
]}

机构：

[1] CSIC, Inst Fis Aplicada, Madrid 28006, Spain

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 12期

关键词：

D O I：

10.1016/S0960-0779(98)00046-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we present a very fast and parsimonious method to calculate the centre coordinates of hyperbolic components in the Mandelbrot set. The method we use constitutes an extension for the complex domain of the one developed by Myrberg for the real mag x bar right arrow x(2)-p , in which, given the symbolic sequence of a superstable orbit, the parameter value originating such a superstable orbit is worked out. We show that, when dealing with complex domain sequences, some of the solutions obtained correspond to the centres of the Mandelbrot set's hyperbolic components, while some others do not exist. (C) 1998 Elsevier Science Ltd. Air rights reserved.

引用

页码：1997 / 2005

页数：9

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