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Search: authors:"Krzysztof Gdawiec"

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Fractal patterns from the dynamics of combined polynomial root finding methods

Fractal patterns generated in the complex plane by root finding methods are well known in the literature. In the generation methods of these fractals, only one root finding method is used. In this paper, we propose the use of a combination of root finding methods in the generation of fractal patterns. We use three approaches to combine the methods: (1) the use of different...

Switching processes in polynomiography

Mandelbrot and Julia sets are examples of fractal patterns generated in the complex plane. In the literature, we can find many generalizations of those sets. One of such generalizations is the use of switching process. In this paper, we introduce some switching processes to another type of complex fractals, namely polynomiographs. Polynomiograph is an image presenting the...