Abstract

is a constant. This Fractal is particularly interesting, with beautiful shapes and lots of spirals. In this paper we have presented different characteristics of Multibrot function using superior iterates. Further, different properties like trajectories, fixed point, its complex dynamics and its behavior towards Julia set are also discussed in the paper. Keywordsdynamics, Multibrot. where n and c is a constant. The complex dynamics of Multibrot function, generally known as Multibrot fractal, is a modification of the classic Mandelbrot and Julia sets. The Multibrot (Julia) type is particularly interesting, with beautiful shapes and lots of spirals. In this paper we have presented different characteristics of Multibrot function using superior iterates and generated the superior Multibrot fractal. 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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