Drawing Dynamical and Parameters Planes of Iterative Families and Methods

The complex dynamical analysis of the parametric fourth-order Kim's iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. The parameter spaces associated with the free critical points have been analyzed,...

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Detalles Bibliográficos
Autores principales: Chicharro, Francisco I., Cordero, Alicia, Torregrosa, Juan R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3859210/
https://www.ncbi.nlm.nih.gov/pubmed/24376386
http://dx.doi.org/10.1155/2013/780153
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author Chicharro, Francisco I.
Cordero, Alicia
Torregrosa, Juan R.
author_facet Chicharro, Francisco I.
Cordero, Alicia
Torregrosa, Juan R.
author_sort Chicharro, Francisco I.
collection PubMed
description The complex dynamical analysis of the parametric fourth-order Kim's iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. The parameter spaces associated with the free critical points have been analyzed, showing the stable (and unstable) regions where the selection of the parameter will provide us the excellent schemes (or dreadful ones).
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spelling pubmed-38592102013-12-29 Drawing Dynamical and Parameters Planes of Iterative Families and Methods Chicharro, Francisco I. Cordero, Alicia Torregrosa, Juan R. ScientificWorldJournal Research Article The complex dynamical analysis of the parametric fourth-order Kim's iterative family is made on quadratic polynomials, showing the MATLAB codes generated to draw the fractal images necessary to complete the study. The parameter spaces associated with the free critical points have been analyzed, showing the stable (and unstable) regions where the selection of the parameter will provide us the excellent schemes (or dreadful ones). Hindawi Publishing Corporation 2013-11-24 /pmc/articles/PMC3859210/ /pubmed/24376386 http://dx.doi.org/10.1155/2013/780153 Text en Copyright © 2013 Francisco I. Chicharro et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chicharro, Francisco I.
Cordero, Alicia
Torregrosa, Juan R.
Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title_full Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title_fullStr Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title_full_unstemmed Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title_short Drawing Dynamical and Parameters Planes of Iterative Families and Methods
title_sort drawing dynamical and parameters planes of iterative families and methods
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3859210/
https://www.ncbi.nlm.nih.gov/pubmed/24376386
http://dx.doi.org/10.1155/2013/780153
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