On probabilistic Mandelbrot maps

Ioannis Andreadis and Theodoros E. Karakasidis

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1577-1583

Abstract: 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1577-1583

DOI: 10.1016/j.chaos.2009.03.033

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