Superior Multibrots for Multicorns for Positive Values

نویسندگان

  • Sunil Shukla
  • Ashish Negi
  • Priti Dimri
چکیده

The Multibrots for Multicorns is a modification of the classic Mandelbrot and Julia sets and it is given by the complex function where and is a constant. The Multibrot fractal type is particularly interesting, with beautiful shapes and lots of spirals. In this paper we have presented different characteristics of Multibrot function for Multicorns using superior iterates. Further, different properties like trajectories, fixed point, its complex dynamics and its behaviour towards Julia set are also discussed in the paper.

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Barcellos, A. and Barnsley, Michael F. , Reviews: Fractals Everywhere. Amer. Math. Monthly , No. 3, pp. 266-268, 1990. Barnsley, Michael F. , Fractals Everywhere. Academic Press, INC, New York, 1993. Edgar, Gerald A. , Classics on Fractals. Westview Press, 2004. Falconer, K. , Techniques in fractal geometry. John Wiley & Sons, England, 1997. Julia, G. , Sur 1' iteration des functions ratio...

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تاریخ انتشار 2013