Universitat de Barcelona
2018-09-28T08:32:21Z
2018-09-28T08:32:21Z
2017-01-01
2018-09-28T08:32:21Z
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.
Article
Accepted version
English
Sistemes dinàmics complexos; Teoria de la mesura; Equacions funcionals; Desigualtats (Matemàtica); Complex dynamical systems; Measure theory; Functional equations; Inequalities (Mathematics)
Springer Verlag
Versió postprint del document publicat a: https://doi.org/10.1007/s11075-017-0270-8
Numerical Algorithms, 2017, vol. 76, num. 2, p. 555-571
https://doi.org/10.1007/s11075-017-0270-8
(c) Springer Verlag, 2017
