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
Descripción
Sumario: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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