On the Julia set of the perturbed Mandelbrot map
type: Item
instance of: scholarly article
title: On the Julia set of the perturbed Mandelbrot map
zbMATH Open document ID: 0954.37024
DOI: 10.1016/S0960-0779(99)00101-0
author: T. E. Karakasidis
author: Ioannis Andreadis
author: John Argyris
published in: Chaos, Solitons and Fractals
publication date: 2001-02-15T00:00:00Z
review text: The paper deals with the Julia set of the perturbed Mandelbrot map (analytic and non-analytic perturbations). Moreover, the authors also study the Julia set of a Mandelbrot map subject to noise. For low strengths of noise, the Julia set is found to be stable. Increase in the strength of noise results in a deterioration of the shape of the Julia set.
Mathematics Subject Classification ID: 37F45
Mathematics Subject Classification ID: 37F50
zbMATH DE Number: 1501112
zbMATH Keywords: Julia set
zbMATH Keywords: perturbed Mandelbrot map
zbMATH Keywords: non-analytic perturbations
zbMATH Keywords: noise
Wikidata QID: Q123023559
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: On perturbations of the Mandelbrot map
cites work: Smooth Decomposition of Generalized Fatou Set Explains Smooth Structure in Generalized Mandelbrot Set
cites work: Q4299632
cites work: Q4299689
cites work: Q3736578
full work available at URL: s0960-0779(99)00101-0
OpenAlex ID: W2010397987
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description: scientific article; zbMATH DE number 1501112