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Dipòsit Digital de Documents de la UAB 14 registres trobats  1 - 10següent  anar al registre: La cerca s'ha fet en 0.01 segons. 
1.
28 p, 2.1 MB Dynamics of Newton-like root finding methods / Campos, Beatriz (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón) ; Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemátiques i Aplicacions de Castelló) ; Vindel, Pura (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón)
When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z − c has the same form regardless of which algorithm has been used. [...]
2023 - 10.1007/s11075-022-01474-w
Numerical Algorithms, Vol. 93, Issue 4 (August 2023) , p. 1453-1480  
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2.
22 p, 2.1 MB On the basins of attraction of a one-dimensional family of root finding algorithms : from Newton to Traub / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemátiques i Aplicacions de Castelló) ; Evdoridou, Vasiliki (The Open University. School of Mathematics and Statistics (UK)) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Jarque i Ribera, Xavier (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
In this paper we study the dynamics of damped Traub's methods T when applied to polynomials. The family of damped Traub's methods consists of root finding algorithms which contain both Newton's (δ= 0) and Traub's method (δ= 1). [...]
2023 - 10.1007/s00209-023-03215-8
Mathematische Zeitschrift, Vol. 303, Issue 3 (March 2023) , art. 55  
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3.
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  
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4.
21 p, 1.6 MB Dynamics of a family of rational operators of arbitrary degree / Campos, Beatriz (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón) ; Canela Sánchez, Jordi (Centre de Recerca Matemàtica) ; Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Vindel, Pura (Universitat Jaume I. Instituto de Matemáticas y Aplicaciones de Castellón)
In this paper we analyse the dynamics of a family of rational operators coming from a fourth-order family of root-finding algorithms. We first show that it may be convenient to redefine the parameters to prevent redundancies and un-boundedness of problematic parameters. [...]
2021 - 10.3846/mma.2021.12642
Mathematical Modelling and Analysis, Vol. 26, Issue 2 (May 2021) , p. 188-208
2 documents
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5.
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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6.
17 p, 419.6 KB Tips of tongues in the double standard family / Banerjee, Kuntal (Presidency University (India)) ; Buff, Xavier (Centre National de la Recherche Scientifique. Université de Toulouse. Institut de Mathématiques de Toulouse) ; Canela Sánchez, Jordi (Centre de Recerca Matemàtica) ; Epstein, Adam (University of Warwick. Mathematics Institute)
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree two circle maps F : R/Z → R/Z defined by F(x):= 2x + a + sin(2πx) with λ:= (a, b) ∈ R/Z × (0, 1). We prove that if F - id has a zero of multiplicity three in R/Z, then there is a system of local coordinates (α, β): W → R defined in a neighborhood W of λ, such that α(λ) = β(λ) = 0 and F - id has a multiple zero with μ ∈ W if and only if β(μ) = α(μ). [...]
2021 - 10.1088/1361-6544/ac2d80
Nonlinearity, Vol. 34, Issue 12 (December 2021) , p. 8174-8191  
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7.
21 p, 1.6 MB Julia sets with a wandering branching point / Buff, Xavier (Université Paul Sabatier. Institut de Mathématiques de Toulouse (France)) ; Canela Sánchez, Jordi (Université Paris-Est Marne-La-Vallée. Laboratoire d'Analyse et de Mathématiques Apliquées (France)) ; Roesch, Pascale (Université Paul Sabatier. Institut de Mathématiques de Toulouse (France))
According to the Thurston No Wandering Triangle Theorem, a branching point in a locally connected quadratic Julia set is either preperiodic or precritical. Blokh and Oversteegen proved that this theorem does not hold for higher degree Julia sets: there exist cubic polynomials whose Julia set is a locally connected dendrite with a branching point which is neither preperiodic nor precritical. [...]
2020 - 10.1512/iumj.2020.69.8056
Indiana University mathematics journal, Vol. 69, Issue 6 (2020) , p. 2241-2265  
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8.
27 p, 6.8 MB Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials / Campos, Beatriz (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Canela Sánchez, Jordi (Université Paris-Est Marne-la-Vallée (France)) ; Vindel, Pura (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
We study the Chebyshev-Halley family of root finding algorithms from the point of view of holomorphic dynamics. Numerical experiments show that the speed of convergence to the roots may be slower when the basins of attraction are not simply connected. [...]
2020 - 10.1016/j.cnsns.2019.105026
Communications in nonlinear science and numerical simulation, Vol. 82 (March 2020) , art. 105026  
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9.
20 p, 5.8 MB Singular perturbations of Blaschke products and connectivity of Fatou components / Canela Sánchez, Jordi (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
2017 - 10.3934/dcds.2017153
Discrete and continuous dynamical systems. Series A, Vol. 37, Issue 7 (July 2017) , p. 3567-3585  
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10.
25 p, 4.7 MB Convergence regions for the Chebyshev--Halley family / Campos, Beatriz (Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Canela Sánchez, Jordi (Institut Universitari de Matemàtiques i Aplicacions de Castelló) ; Vindel, Pura (Institut Universitari de Matemàtiques i Aplicacions de Castelló)
In this paper, we study the dynamical behaviour of the Chebyshev--Halley family applied on a family of degree n polynomials. For n=2 we bound the set of parameters for which the iterative methods have convergence regions which do not correspond to the basins of attraction of the roots. [...]
2018 - 10.1016/j.cnsns.2017.08.024
Communications in nonlinear science and numerical simulation, Vol. 56 (March 2018) , p. 508-525  
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