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On a Family of Rational Perturbations of the Doubling Map
Canela, Jordi
Fagella, Nuria
Garijo, Antoni

Data: 2015
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. 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. In parameter space, we classify the different hyperbolic components according to the critical orbits and we show how to parametrize those of disjoint type.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Blaschke products ; Circle maps ; Holomorphic dynamics ; Polynomial-like mappings
Publicat a: Journal of Difference Equations and Applications, Vol. 21 Núm. 8 (2015) , p. 715-741, ISSN 1023-6198

DOI: 10.1080/10236198.2015.1050387

30 p, 1.8 MB

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Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
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