Polynomial-like maps - Search Results - UAB Digital Repository of Documents

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Articles, 2 records found

Articles	2 records found

30 p, 1.8 MB

On a Family of Rational Perturbations of the Doubling Map / Canela Sánchez, Jordi (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
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. [...]
2015 - DOI (Digital Object Identifier)

10.1080/10236198.2015.1050387
Journal of Difference Equations and Applications, Vol. 21 Núm. 8 (2015) , p. 715-741

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24 p, 710.2 KB

Joining polynomial and exponential combinatorics for some entire maps / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Moreno Rocha, Mónica (Centro de Investigación en Matemáticas (Guanajuato, México))
We consider families of entire transcendental maps given by Fλ,m (z) = λzm exp (z) where m ≥ 2. All these maps have a superattracting fixed point at z = 0 and a free critical point at z = −m. In parameter planes we focus on the capture zones, i. [...]
2010 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_54110_06
Publicacions matemàtiques, V. 54 n. 1 (2010) p. 113-136

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