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, show...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/780153 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832545529825853440 |
|---|---|
| author | Francisco I. Chicharro Alicia Cordero Juan R. Torregrosa |
| author_facet | Francisco I. Chicharro Alicia Cordero Juan R. Torregrosa |
| author_sort | Francisco I. Chicharro |
| collection | DOAJ |
| 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). |
| format | Article |
| id | doaj-art-a1c4088892aa4295866ad47cbb3645ba |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-a1c4088892aa4295866ad47cbb3645ba2025-02-03T07:25:40ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/780153780153Drawing Dynamical and Parameters Planes of Iterative Families and MethodsFrancisco I. Chicharro0Alicia Cordero1Juan R. Torregrosa2Instituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainInstituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThe 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).http://dx.doi.org/10.1155/2013/780153 |
| spellingShingle | Francisco I. Chicharro Alicia Cordero Juan R. Torregrosa Drawing Dynamical and Parameters Planes of Iterative Families and Methods The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2013/780153 |
| work_keys_str_mv | AT franciscoichicharro drawingdynamicalandparametersplanesofiterativefamiliesandmethods AT aliciacordero drawingdynamicalandparametersplanesofiterativefamiliesandmethods AT juanrtorregrosa drawingdynamicalandparametersplanesofiterativefamiliesandmethods |