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Zastosuj identyfikator do podlinkowania lub zacytowania tej pozycji: http://hdl.handle.net/20.500.12128/937
Tytuł: Switching Processes in Polynomiography
Autor: Gdawiec, Krzysztof
Słowa kluczowe: dynamics; polynomiography; switching process; fractal
Data wydania: 2017
Źródło: Nonlinear Dynamics, Vol. 87, iss. 4 (2017), s. 2235–2249
Abstrakt: 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 visualization of the complex polynomial's root finding process. The proposed switching processes will be divided into four groups, i.e., switching of: the root finding methods, the iterations, the polynomials and the convergence tests. All the proposed switching processes change the dynamics of the root finding process and allowed us to obtain new and diverse fractal patterns.
URI: http://hdl.handle.net/20.500.12128/937
DOI: 10.1007/s11071-016-3186-2
ISSN: 0924-090X
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