Pàgina inicial > Resultats de la cerca: Julia set
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 8 registres trobats en 0.02 segons.
Articles, 7 registres trobats
Documents de recerca, 1 registres trobats
Articles 7 registres trobats  
1.
27 p, 761.6 KB Singular perturbations of zⁿ with a pole on the unit circle / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Marotta, Sebastian M. (University of the Pacific. Department of Mathematics (USA))
We consider the family of complex maps given by fλ,a (z) = z n + λ/(z − a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.
2010 - 10.1080/10236190903257842
Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 573-595  
Registre complet -
2.
19 p, 594.1 KB Fatou components and singularities of meromorphic functions / Barański, Krzysztof (University of Warsaw. Institute of Mathematics (Poland)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Institut de Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Institut de Matemàtiques) ; Karpińska, Bogusława (Warsaw University of Technology (Poland))
We prove several results concerning the relative position of points in the postsingular set P(f) of a meromorphic map f and the boundary of a Baker domain or the successive iterates of a wandering component. [...]
2020 - 10.1017/prm.2018.142
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 150, Issue 2 (April 2020) , p. 633-654  
Registre complet -
3.
15 p, 8.6 MB Connectivity of Julia sets of Newton maps : a unified approach / Barański, Krzysztof (University of Warsaw (Polònia). Institute of Mathematics) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Karpinska, Boguslawa (University of Warsaw (Polònia). Institute of Mathematics)
In this paper we give a unified proof of the fact that the Julia set of Newton's method applied to a holomorphic function of the complex plane (a polynomial of degree large than 1 or an entire transcendental function) is connected. [...]
2018 - 10.4171/RMI/1022
Revista Matemática Iberoamericana, Vol. 34, issue 3 (2018) , p. 1211-1228  
Registre complet -
4.
15 p, 3.0 MB An effective algorithm to compute Mandelbrot sets in parameter planes / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)
In 2000 McMullen proved that copies of generalized Mandelbrot set are dense in the bifurcation locus for generic families of rational maps. We develop an algo- rithm to an effective computation of the location and size of these generalized Mandelbrot sets in parameter space. [...]
2017 - 10.1007/s11075-017-0270-8
Numerical Algorithms, Vol. 76 (2017) , p. 555-571  
Registre complet -
5.
27 p, 2.8 MB Hyperbolic entire functions with bounded Fatou components / Bergweiler, Walter (Christian-Albrechts-Universität zu Kiel (Alemanya)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Rempe, Lasse (University of Liverpool(UK). Dept. of Mathematical Sciences)
We show that an invariant Fatou component of a hyperbolic transcendental entire function is a Jordan domain (in fact, a quasidisc) if and only if it contains only finitely many critical points and no asymptotic curves. [...]
2015
Commentarii Mathematici Helvetici. A Journal of the Swiss Mathematical Society, Vol. 90 Núm. 4 (2015) , p. 799-829  
Registre complet -
6.
32 p, 489.6 KB Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Moreno Rocha, Mónica (Centro de Investigación en Matemáticas (Guanajuato, México))
We consider the family of transcendental entire maps given by fa (z) = a(z − (1 − a)) exp(z + a) where a is a complex parameter. Every map has a superattracting fixed point at z = −a and an asymptotic value at z = 0. [...]
2011 - 10.4064/fm214-2-3
Fundamenta Mathematicae, Vol. 214 (2011) , p. 135-160  
Registre complet -
7.
14 p, 142.3 KB On commuting polynomial automorphisms of C2 / Bisi, Cinzia
We characterize the commuting polynomial automorphisms of C2, using their meromorphic extension to P2 and looking at their dynamics on the line at infinity.
2004 - 10.5565/PUBLMAT_48104_10
Publicacions matemàtiques, V. 48 N. 1 (2004) , p. 227-239  
Registre complet -

Documents de recerca 1 registres trobats  
1.
112 p, 4.9 MB Connectivity of Julia sets of transcendental meromorphic functions / Taixés, Jordi ; Fagella Rabionet, Núria, dir. (Universitat de Barcelona. Grup de Sistemes Dinàmics) ; Jarque i Ribera, Xavier, dir. (Universitat de Barcelona)
Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf(z) = z - f(z) / f'(z). As a root-finding algorithm, a natural question is to understand the dynamics of Nf about its fixed points, as they correspond to the roots of the function f. [...]
[Barcelona] : Universitat de Barcelona 2011  
Registre complet - Creative Commons

Us interessa rebre alertes sobre nous resultats d'aquesta cerca?
Definiu una alerta personal via correu electrònic o subscribiu-vos al canal RSS.
Dipòsit Digital de Documents de la UAB :: Cerca :: Lliura :: Personalitza :: Ajuda
Powered by Invenio v1.1.6
Mantingut per ddd.bib@uab.cat  :: Metadades subjectes a:
Col·laborem