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On probabilistic Mandelbrot maps

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  • Andreadis, Ioannis
  • Karakasidis, Theodoros E.

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.

Suggested Citation

  • Andreadis, Ioannis & Karakasidis, Theodoros E., 2009. "On probabilistic Mandelbrot maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1577-1583.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1577-1583
    DOI: 10.1016/j.chaos.2009.03.033
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    References listed on IDEAS

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    1. Brown, D.A. & Halstead, M.L., 2007. "Super-attracting cycles for the cosine-root family," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1191-1202.
    2. Negi, Ashish & Rani, Mamta, 2008. "A new approach to dynamic noise on superior Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1089-1096.
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