dc.contributor.author
Garijo Real, Antonio
dc.contributor.author
Jarque i Ribera, Xavier
dc.contributor.author
Villadelprat, Jordi
dc.date.issued
2018-09-28T08:32:21Z
dc.date.issued
2018-09-28T08:32:21Z
dc.date.issued
2017-01-01
dc.date.issued
2018-09-28T08:32:21Z
dc.identifier
https://hdl.handle.net/2445/124910
dc.description.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.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
Springer Verlag
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1007/s11075-017-0270-8
dc.relation
Numerical Algorithms, 2017, vol. 76, num. 2, p. 555-571
dc.relation
https://doi.org/10.1007/s11075-017-0270-8
dc.rights
(c) Springer Verlag, 2017
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Sistemes dinàmics complexos
dc.subject
Teoria de la mesura
dc.subject
Equacions funcionals
dc.subject
Desigualtats (Matemàtica)
dc.subject
Complex dynamical systems
dc.subject
Measure theory
dc.subject
Functional equations
dc.subject
Inequalities (Mathematics)
dc.title
An effective algorithm to compute Mandelbrot sets in parameter planes.
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/acceptedVersion
