On probabilistic Mandelbrot maps

被引：11

作者：

Andreadis, Ioannis ^{[2
]}

Karakasidis, Theodoros E. ^{[1
]}

机构：

[1] Univ Thessaly, Dept Civil Engn, GR-38334 Volos, Greece

[2] Int Sch Hague, NL-2554 BX The Hague, Netherlands

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 03期

关键词：

CHAOTIC ATTRACTORS; JULIA SETS; NOISE; DYNAMICS;

D O I：

10.1016/j.chaos.2009.03.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we propose a definition for a probabilistic Mandelbrot map in order to extend and support the study initiated by Argyris et al. [Argyris J, Andreadis I, Karakasidis Th. On perturbations of the Mandelbrot map. Chaos, Solitons and Fractals 2000; 11 : 1131 -1136.] with regard to the numerical stability of the Mandelbrot and Julia set of the Mandelbrot map when Subjected to noise. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1577 / 1583

页数：7

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