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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.

Suggested Citation

  • 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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