Skip navigation

Please use this identifier to cite or link to this item:
Title: Switching Processes in Polynomiography
Authors: Gdawiec, Krzysztof
Keywords: dynamics; polynomiography; switching process; fractal
Issue Date: 2017
Citation: Nonlinear Dynamics, Vol. 87, iss. 4 (2017), s. 2235–2249
Abstract: 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.
DOI: 10.1007/s11071-016-3186-2
ISSN: 0924-090X
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Gdawiec_Switching_process_in_polynomiography.pdf4,89 MBAdobe PDFView/Open
Show full item record

Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons