Listar IMAC_Articles por autoría "f03dff61-1450-403c-b88d-e43f801a5746"
Mostrando ítems 1-8 de 8
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Achievable connectivities of Fatou components for a family of singular perturbations
Canela, Jordi; Jarque, Xavier; Paraschiv, Dan American Institute of Mathematical Sciences (2022-09)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 ... -
Connectivity of the Julia set for the Chebyshev-Halley family on degree n polynomials
Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2020-03)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 ... -
Convergence regions for the Chebyshev–Halley family
Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2018-03)In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ... -
Dynamical mechanism behind ghosts unveiled in a map complexification
Canela, Jordi; Alsedà i Soler, Lluís; Fagella, Núria; Sardanes, JOSEP Elsevier (2022-01-14)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 ... -
Dynamics of a Family of Rational Operators of Arbitrary Degree
Campos, Beatriz; Canela, Jordi; Garijo, Antonio; Vindel, Pura Vilnius Gediminas Technical University (2021-05-26). 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 ... -
Dynamics of Newton-like root finding methods
Campos, Beatriz; Canela, Jordi; Vindel, Pura Springer (2022)When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z2 − c has the same form regardless of which algorithm has been ... -
On the basins of attraction of a one-dimensional family of root finding algorithms: from Newton to Traub
Canela, Jordi; Evdoridou, Vasiliki; Garijo, Antonio; Jarque, Xavier Springer (2023)In this paper we study the dynamics of damped Traub’s methods Tδ 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 ... -
Singular perturbations of Blaschke products and connectivity of Fatou components
Canela, Jordi American Institute of Mathematical Sciences (AIMS) (2017)The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...