Generation of Julia and Mandelbrot Sets via Fixed Points
dc.contributor.author | Abbas, Mujahid | |
dc.contributor.author | Iqbal, Hira | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2020-12-14T09:44:42Z | |
dc.date.available | 2020-12-14T09:44:42Z | |
dc.date.issued | 2020-01 | |
dc.identifier.citation | Symmetry 12(1) : (2020) // Article ID 86 | es_ES |
dc.identifier.issn | 2073-8994 | |
dc.identifier.uri | http://hdl.handle.net/10810/48965 | |
dc.description.abstract | The aim of this paper is to present an application of a fixed point iterative process in generation of fractals namely Julia and Mandelbrot sets for the complex polynomials of the form T(x)=xn+mx+r where m,r is an element of C and n >= 2. Fractals represent the phenomena of expanding or unfolding symmetries which exhibit similar patterns displayed at every scale. We prove some escape time results for the generation of Julia and Madelbrot sets using a Picard Ishikawa type iterative process. A visualization of the Julia and Mandelbrot sets for certain complex polynomials is presented and their graphical behaviour is examined. We also discuss the effects of parameters on the color variation and shape of fractals. | es_ES |
dc.description.sponsorship | This research was funded by Basque Government through grant number IT 1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | iteration | es_ES |
dc.subject | fixed points | es_ES |
dc.subject | fractals | es_ES |
dc.title | Generation of Julia and Mandelbrot Sets via Fixed Points | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://www.mdpi.com/2073-8994/12/1/86/htm | es_ES |
dc.identifier.doi | 10.3390/sym12010086 | |
dc.departamentoes | Electricidad y electrónica | es_ES |
dc.departamentoeu | Elektrizitatea eta elektronika | es_ES |
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Except where otherwise noted, this item's license is described as 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).