Pàgina inicial > Resultats de la cerca: Rational maps
  Consells de cerca
Cerca avançada
Cerca col·leccions:
Ordena'ls per: Mostrar els resultats: Format de visualizació:
Resultats globals: 10 registres trobats en 0.03 segons.
Articles, 10 registres trobats
Articles 10 registres trobats  
1.
25 p, 1.5 MB Achievable connectivities of Fatou components for a family of singular perturbations / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica) ; Paraschiv, Dan (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps present Fatou components of arbitrarily large connectivity and we determine precisely these connectivities. [...]
2022 - 10.3934/dcds.2022051
Discrete and continuous dynamical systems. Series A, Vol. 42, Issue 9 (September 2022) , p. 4237-4261  
Registre complet -
2.
41 p, 860.7 KB Generalized rings around the McMullen domain / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jang, HyeGyong (University of Science Pyongyang. Faculty of Mathematics (DPR of Korea)) ; Marotta, Sebastian M. (Boston University. Department of Mathematics (USA))
We consider the family of rational maps given by F (z) = z + λ/ z where n, d∈ N with 1 / n+ 1 / d< 1, the variable z∈ C^ and the parameter λ∈ C. It is known that when n= d≥ 3 there are infinitely many rings S with k∈ N, around the McMullen domain. [...]
2019 - 10.1007/s12346-018-0287-y
Qualitative theory of dynamical systems, Vol. 18, Issue 1 (April 2019) , p. 233-264  
Registre complet -
3.
26 p, 508.8 KB Continua of periodic points for planar integrable rational maps / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Llorens, Mireia (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals. The first two have been already used for other authors and apply when the maps are birational and the generic level sets of the corresponding first integrals have either genus 0 or 1. [...]
2016
International Journal of Difference Equations, Vol. 11 Núm. 1 (2016) , p. 37-63  
Registre complet -
4.
21 p, 1.2 MB On McMullen-like mappings / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Godillon, Sebastién (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We introduce a generalization of the McMullen family f_(z) = z^n /zd^. In 1988 C. McMullen showed that the Julia set of f_ is a Cantor set of circles if and only if 1/n 1/d < 1 and the simple critical values of f_ belong to the trap door. [...]
2015
Journal of Fractal Geometry, Vol. 2 (2015) , p. 249-279  
Registre complet -
5.
25 p, 2.4 MB Integrability and non-integrability of periodic non-autonomous Lyness recurrences / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
This paper studies non-autonomous Lyness type recurrences of the form xn+2 =(an +xn+1)/xn, where {an} is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k ∈ {1, 2, 3, 6} the behavior of the sequence {xn} is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). [...]
2013 - 10.1080/14689367.2013.821103
Dynamical Systems, Vol. 28 Núm. 4 (2013) , p. 518-538  
Registre complet -
6.
25 p, 932.3 KB Singular perturbations in the quadratic family with multiple poles / Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Marotta, Sebastian M. (University of the Pacific(Stockon). Department of Mathematics) ; Russell, Elizabeth D. (United States Military Academy West Point. Department of Mathematical Sciences)
We consider the quadratic family of complex maps given by qc(z) = z2 + c where c is the center of a hyperbolic component in the Mandelbrot set. Then, we introduce a singular perturbation on the corresponding bounded superattracting cycle by adding one pole to each point in the cycle. [...]
2013 - 10.1080/10236198.2011.630668
Journal of Difference Equations and Applications, Vol. 19 (2013) , p. 124-145  
Registre complet -
7.
25 p, 387.2 KB Global periodicity conditions for maps and recurrences via Normal Forms / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We face the problem of characterizing the periodic cases in parametric families of rational diffeomorphisms of Kk, where K is R or C, having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. [...]
2013 - 10.1142/S0218127413501824
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 23 Núm. 11 (2013) , p. 1350182 (18 pages)  
Registre complet -
8.
20 p, 446.0 KB Non-autonomous 2-periodic Gumovski-Mira difference equations / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). [...]
2012 - 10.1142/S0218127412502641
International journal of bifurcation and chaos in applied sciences and engineering, Vol. 22 Núm. 11 (2012) , p. 1250264 (14 pages)  
Registre complet -
9.
24 p, 424.0 KB Lie symmetries of birational maps preserving genus 0 fibrations / Llorens, Mireia (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosa Fernández, Víctor 1971- (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
We prove that any planar birational integrable map, which preserves a fibration given by genus 0 curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. [...]
2015 - 10.1016/j.jmaa.2015.06.069
Journal of mathematical analysis and applications, Vol. 432 (2015) , p. 531-549  
Registre complet -
10.
44 p, 404.7 KB Holomorphic self-maps of singular rational surfaces / Favre, Charles (Centre national de la recherche scientifique (França). Institut de Mathématiques) ; Université Paris 7
We give a new proof of the classification of normal singular surface germs admitting non-invertible holomorphic self-maps and due to J. Wahl. We then draw an analogy between the birational classification of singular holomorphic foliations on surfaces, and the dynamics of holomorphic maps. [...]
2010 - 10.5565/PUBLMAT_54210_06
Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 389-432  
Registre complet -

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