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http://hdl.handle.net/2445/124910| Title: | An effective algorithm to compute Mandelbrot sets in parameter planes. |
| Author: | Garijo Real, Antonio Jarque i Ribera, Xavier Villadelprat, Jordi |
| Keywords: | Sistemes dinàmics complexos Teoria de la mesura Equacions funcionals Desigualtats (Matemàtica) Complex dynamical systems Measure theory Functional equations Inequalities (Mathematics) |
| Issue Date: | 1-Jan-2017 |
| Publisher: | Springer Verlag |
| Abstract: | McMullen in 2000 proved that copies of generalized Mandelbrot set are dense in the bifurcation locus for generic families of rational maps. We develop an algorithm to an effective computation of the location and size of these generalized Mandelbrot sets in parameter space. We illustrate the effectiveness of the algorithm by applying it to concrete families of rational and entire maps. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s11075-017-0270-8 |
| It is part of: | Numerical Algorithms, 2017, vol. 76, num. 2, p. 555-571 |
| URI: | http://hdl.handle.net/2445/124910 |
| Related resource: | https://doi.org/10.1007/s11075-017-0270-8 |
| ISSN: | 1017-1398 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 670252.pdf | 3.1 MB | Adobe PDF | View/Open |
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