Listar por autoría "f03dff61-1450-403c-b88d-e43f801a5746"

Mostrando ítems 1-12 de 12

    • openAccess   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 ...

    • openAccess   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 ...

    • openAccess   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 ...

    • openAccess   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 ...

    • openAccess   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 ...

    • openAccess   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 ...

    • openAccess   Evaluación de competencias matemáticas en el ámbito de la economía adquiridas durante la pandemia Covid-19 

      Canela, Jordi; Galindo, Carlos; Gregori, Pablo; Martínez García, Vicente Asociación Española de Profesores Universitarios de Matemáticas para la Economía y la Empresa (ASEPUMA) (2022)
      La llegada sobrevenida de la COVID-19 ha obligado, sin preparación previa, a la totalidad de profesorado y alumnado de nuestro país a enseñar y evaluar de manera no presencial. Este trabajo pretende medir hasta qué punto ...

    • openAccess   Influencia de la encuesta de los estudiantes sobre la calidad docente en la universidad 

      Canela, Jordi; Galindo, Carlos; Gregori, Pablo; Martínez, Vicente UNED (2023-01-18)
      En el ámbito universitario español existen intereses particulares contrapuestos. Por un lado, uno de los principales objetivos de los estudiantes, si no el más importante, es aprobar las asignaturas. Estos consideran en ...

    • openAccess   On a family of rational perturbations of the doubling map 

      Canela, Jordi; Fagella, Núria; Garijo, Antonio Taylor and Francis (2015-06-17)
      The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z 3 z−a 1−az¯ . First we study the basic properties of these ...

    • openAccess   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 ...

    • openAccess   Rational maps with Fatou components of arbitrarily large connectivity 

      Canela, Jordi Elsevier (2018-02-02)
      We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations ...

    • openAccess   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| ...