非解析族z^n+c的一般Julia集

2009 International Workshop on Chaos-Fractals Theories and Applications Pub Date : 2009-11-06 DOI:10.1109/IWCFTA.2009.87

Xiangdong Liu, Zhijie Li, N. Jiang, Junxing Zhang

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引用次数: 0

摘要

本文给出了非解析族+ c (n³2)的一般Julia集，并给出了这些一般Julia集的一些性质。此外，利用迭代函数系统理论，给出了当|c|足够大或足够小时这些一般Julia集的Hausdorff维数的两种估计。

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General Julia Sets of Non-analytic Families z^n+c

In this paper we present general Julia sets of non-analytic families + c (n ³ 2), we also propose some properties of these general Julia sets. Moreover, by iterated function systems theory, we give out two estimations of Hausdorff dimension of these general Julia sets when |c| is sufficient large or sufficient small.

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2009 International Workshop on Chaos-Fractals Theories and Applications

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