Dynamic of the extended Mandelbrots equation
Marek Berezowski
TL;DR
This paper explores the mathematical and numerical analysis of an extended Mandelbrot equation with a dynamic continuous term, investigating fractal pattern generation and demonstrating their decay over time.
Contribution
It introduces an extension to the Mandelbrot equation incorporating a dynamic continuous term and analyzes its impact on fractal pattern formation and decay.
Findings
Fractal patterns can be generated using the extended equation.
Fractal structures decay over time in this model.
The extended equation offers new insights into fractal dynamics.
Abstract
The paper deals with the mathematical - numerical analysis of the Mandelbrot equation extended by the dynamic continuous term. The possibilities of generation of fractal patterns with the mathematical form, defined in such a manner, were investigated. The decay of fractal structure with time was demonstrated.
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