On a family of rational perturbations of the doubling map
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On a family of rational perturbations of the doubling mapData de publicació
2015-06-17Editor
Taylor and Francis; International Society of Difference EquationsISSN
1023-6198Cita bibliogràfica
CANELA, Jordi; FAGELLA, Núria; GARIJO, Antonio. On a family of rational perturbations of the doubling map. Journal of Difference Equations and Applications, 2015, vol. 21, no 8, p. 715-741.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.tandfonline.com/toc/gdea20/21/8Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z
3 z−a
1−az¯
. First
we study the basic properties of ... [+]
The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z
3 z−a
1−az¯
. First
we study the basic properties of these maps such as the connectivity of the Julia set
as a function of the parameter a. We use techniques of quasiconformal surgery to explore the relation between certain members of the family and the degree 4 polynomials
z
2 + c
2
+ c. In parameter space, we classify the different hyperbolic components according to the critical orbits and we show how to parametrize those of disjoint type. [-]
Publicat a
Journal of Difference Equations and Applications Volume 21, 2015 - Issue 8Proyecto de investigación
MTM2011-26995-C02-02 CIRIT 2009-SGR792 MRTN-CT-2006-035651 FPU/AP2009- 4564Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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