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Resultados globales: 28 registros encontrados en 0.02 segundos.
Artículos, Encontrados 26 registros
Documentos de investigación, Encontrados 2 registros
Artículos Encontrados 26 registros  1 - 10siguientefinal  ir al registro:
1.
52 p, 2.2 MB Classifying simply connected wandering domains / Benini, Anna Miriam (Università di Parma. Department of Mathematical, Physical and Computer Sciences) ; Evdoridou, Vasiliki (The Open University. School of Mathematics and Statistics (UK)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Rippon, Philip J. (The Open University. School of Mathematics and Statistics (UK)) ; Stallard, Gwyneth M. (The Open University. School of Mathematics and Statistics (UK))
While the dynamics of transcendental entire functions in periodic Fatou components and in multiply connected wandering domains are well understood, the dynamics in simply connected wandering domains have so far eluded classification. [...]
2022 - 10.1007/s00208-021-02252-0
Mathematische Annalen, Vol. 383, Issue 3-4 (August 2022) , p. 1127-1178
2 documentos
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2.
13 p, 8.1 MB Dynamical mechanism behind ghosts unveiled in a map complexification / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Sardanyés, Josep (Centre de Recerca Matemàtica)
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close to bifurcations, also following well-defined scaling laws as the bifurcation parameter gets closer the bifurcation value. [...]
2022 - 10.1016/j.chaos.2021.111780
Chaos, solitons and fractals, Vol. 156 (March 2022) , art. 111780  
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3.
13 p, 297.0 KB Singular values and non-repelling cycles for entire transcendental maps / Benini, Anna Miriam (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Let f be a map with bounded set of singular values for which periodic dynamic rays exist and land. We prove that each non-repelling cycle is associated to a singular orbit which cannot accumulate on any other non-repelling cycle. [...]
2020 - 10.1512/iumj.2020.69.8000
Indiana University mathematics journal, Vol. 69, Issue 5 (2020) , p. 1543-1558  
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4.
40 p, 2.2 MB Stable components in the parameter plane of transcendental functions of finite type / Fagella Rabionet, Núria (Barcelona Graduate School of Mathematics (BGSMath)) ; Keen, Linda (CUNY Graduate Center (USA))
We study the parameter planes of certain one-dimensional, dynamically-defined slices of holomorphic families of entire and meromorphic transcendental maps of finite type. Our planes are defined by constraining the orbits of all but one of the singular values, and leaving free one asymptotic value. [...]
2020 - 10.1007/s12220-020-00458-3
Journal of Geometric Analysis, vol. 31 (July 2020) p. 4816-4855  
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5.
26 p, 425.0 KB A bound on the number of rationally invisible repelling orbits / Benini, Anna Miriam (Università di Parma. Dipartimento di Scienze Matematiche Fisiche e Informatiche (Italy)) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
We consider entire transcendental maps with bounded set of singular values such that periodic rays exist and land. For such maps, we prove a refined version of the Fatou-Shishikura inequality which takes into account rationally invisible periodic orbits, that is, repelling cycles which are not landing points of any periodic ray. [...]
2020 - 10.1016/j.aim.2020.107214
Advances in mathematics, Vol. 370 (August 2020) , art. 107214  
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6.
35 p, 3.3 MB An entire transcendental family with a persistent Siegel disc / Berenguel, Rubén (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We study the class of entire transcendental maps of finite order with one critical point and one asymptotic value, which has exactly one finite pre-image, and having a persistent Siegel disk. After normalization this is a one parameter family fa with a ∈ C which includes the semistandard map λzez at a = 1, approaches the exponential map when a → 0 and a quadratic polynomial when a → ∞. [...]
2010 - 10.1080/10236190903251738
Journal of Difference Equations and Applications, Vol. 16, Issue 5-6 (May 2010) , p. 523-553  
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7.
40 p, 10.0 MB Dynamic rays of bounded-type transcendental self-maps of the punctured plane / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Martí-Pete, David (Open University. School of Mathematics and Statistics (UK))
We study the escaping set of functions in the class B∗, that is, transcendental self-maps of ℂ∗ for which the set of singular values is contained in a compact annulus of ℂ∗ that separates zero from infinity. [...]
2017 - 10.3934/dcds.2017134
Discrete and continuous dynamical systems. Series A, Vol. 37, Issue 6 (June 2017) , p. 3123-3160  
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8.
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  
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9.
22 p, 1.6 MB Classification of linear skew-products of the complex plane and an affine route to fractalization / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Jorba, Àngel (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Jorba-Cuscó, Marc (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Tatjer, Joan Carles (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Linear skew products of the complex plane, θ↦θ+ω,z↦a(θ)z,} where θ∈T, z∈C, ω/2π is irrational, and [θ↦a(θ)∈C∖{0} is a smooth map, appear naturally when linearizing dynamics around an invariant curve of a quasi-periodically forced complex map. [...]
2019 - 10.3934/dcds.2019153
Discrete and continuous dynamical systems. Series A, Vol. 39, Issue 7 (July 2019) , p. 3767-3787  
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10.
17 p, 2.3 MB The Fine Structure of Herman Rings / Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Henriksen, Christian (Technical University of Denmark. Department of Applied Mathematics and Computer Science)
We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3 (up to quasiconformal deformation). Shishikura's quasiconformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. [...]
2017 - 10.1007/s12220-017-9764-9
Journal of Geometric Analysis, Vol. 27, Issue 3 (July 2017) , p. 2381-2399  
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Artículos : Encontrados 26 registros   1 - 10siguientefinal  ir al registro:
Documentos de investigación Encontrados 2 registros  
1.
132 p, 26.4 MB On a family of degree 4 Blaschke products / Canela Sánchez, Jordi ; Fagella Rabionet, Núria, dir. ; Garijo, Antoni, dir. ; Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi
[Barcelona] : Universitat de Barcelona, 2015  
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2.
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  
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