Browsing by Author "c505a640-7bb5-4d35-96c2-a26608f00093"

Now showing items 1-4 of 4

    • 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   Dynamics of Newton method for symmetric quartic polynomial 

      Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura Sociedad Española de Matemática Aplicada (SEMA) (2017-06-26)
      We consider the Newton method on symmetric quartic polynomials. The parameter space is divided into different regions with different dynamical behaviours. In this paper, we study the dynamics for values of the parameter ...

    • openAccess   Newton method for symmetric quartic polynomial 

      Campos, Beatriz; Garijo, Antonio; Jarque, Xavier; Vindel, Pura Elsevier (2016-11)
      We investigate the parameter plane of the Newton’s method applied to the family of quartic polynomials pa,b(z)=z4+az3+bz2+az+1,pa,b(z)=z4+az3+bz2+az+1, where a and b are real parameters. We divide the parameter plane ...

    • 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 ...