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Midgets of superior Mandelbrot set

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  • Negi, Ashish
  • Rani, Mamta

Abstract

Considering the complex-valued polynomial Qc(z)=zn+c, n⩾2, we discuss midgets and related properties of superior Mandelbrot sets. A comparison of the usual and superior Mandelbrot sets for Qc(z) on the basis of midgets suggests that the two types of Mandelbrot sets are effectively different in many cases.

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  • Negi, Ashish & Rani, Mamta, 2008. "Midgets of superior Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 237-245.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:237-245
    DOI: 10.1016/j.chaos.2006.06.059
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    Cited by:

    1. Wang, Yupin & Li, Xiaodi & Wang, Da & Liu, Shutang, 2022. "A brief note on fractal dynamics of fractional Mandelbrot sets," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    2. Singh, S.L. & Jain, Sarika & Mishra, S.N., 2009. "A new approach to superfractals," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3110-3120.
    3. Geum, Young Hee & Hare, Kevin G., 2009. "Groebner basis, resultants and the generalized Mandelbrot set," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1016-1023.

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