On probabilistic Mandelbrot maps

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...

Full description

Saved in:
Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2009-11, Vol.42 (3), p.1577-1583
Main Authors: Andreadis, Ioannis, Karakasidis, Theodoros E.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2009.03.033