Growth in complex exponential dynamics

Abstract

Both the computer drawing of the complement of the Mandelbrot-like set of a one-parameter dependent complex exponential family of maps and the computer drawing of the Julia sets of the maps of this family, grow with the maximal number of iterations we choose. Some graphic examples of this growth, which evoke the image of a garden, are shown here. 
DOI: 10.1016/S0097-8493(99)00142-9

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