Analysis of the Complex z-Plane Fractal Images from z - z-a + c for a &gt; 0

Dhurandhar, S. V.; Bhavsar, V. C.; Gujar, U. G.

Analysis of the Complex z-Plane Fractal Images from z - z-a + c for a > 0

Dhurandhar, S. V., Bhavsar, V. C., & Gujar, U. G. (1990). Analysis of the Complex z-Plane Fractal Images from z - z-a + c for a > 0.

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Description

The z-plane fractal images generated from the generalized transformation function z - z[superscript -a] + c, a > 0, are analyzed. The fractal images appear to be planetary structures with a central planet surrounded by satellite structures. The positions and the sizes of the planet and satellite structures are analytically estimated. The partial structures arising for non-integer values of a are analyzed. For a greater than a critical value drastic changes occur in the images and these changes are explained. Keywords: Fractals, Dynamical Systems, Complex Analysis.

Details

Author(s): S. V. Dhurandhar
V. C. Bhavsar
U. G. Gujar
Title:: Analysis of the Complex z-Plane Fractal Images from z - z-a + c for a > 0
Copyright:: Copyright @ S. V. Dhurandhar, V. C. Bhavsar and U. G. Gujar, 1990.
Date:: 1990
Type(s):: Technical Report
Host Date:: 1990

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Analysis of the Complex z-Plane Fractal Images from z - z-a + c for a > 0

Description