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A new approach to dynamic noise on superior Mandelbrot set

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  • Negi, Ashish
  • Rani, Mamta

Abstract

Inspired by the study of noise of the Mandelbrot map in two parameter deformation family, we introduce a new noise criterion and analyze its effect on the usual and superior Mandelbrot maps.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:4:p:1089-1096
    DOI: 10.1016/j.chaos.2006.07.026
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    Cited by:

    1. Lateef Olakunle Jolaoso & Safeer Hussain Khan, 2020. "Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process," Mathematics, MDPI, vol. 8(12), pages 1-18, December.
    2. Andreadis, Ioannis & Karakasidis, Theodoros E., 2009. "On probabilistic Mandelbrot maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1577-1583.
    3. Muhammad Tanveer & Waqas Nazeer & Krzysztof Gdawiec, 2020. "New Escape Criteria for Complex Fractals Generation in Jungck-CR Orbit," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1285-1303, December.
    4. Rawat, Shivam & Prajapati, Darshana J. & Tomar, Anita & Gdawiec, Krzysztof, 2024. "Generation of Mandelbrot and Julia sets for generalized rational maps using SP-iteration process equipped with s-convexity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 148-169.
    5. Singh, S.L. & Jain, Sarika & Mishra, S.N., 2009. "A new approach to superfractals," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3110-3120.

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