Publications (87) Luis Javier Hernández Paricio publications

2023

  1. Algorithms for computing basins of attraction associated with a rational self-map of the Hopf fibration based on Lyapunov exponents

    Topology and its Applications, Vol. 339

2022

  1. Augmented Simplicial Combinatorics through Category Theory: Cones, Suspensions and Joins

    Mathematics, Vol. 10, Núm. 4

2021

  1. A graphic method for detecting multiple roots based on self-maps of the hopf fibration and nullity tolerances

    Mathematics, Vol. 9, Núm. 16

  2. Geometría plana neutral

    Universidad de La Rioja

2019

  1. Regions of attraction, limits and end points of an exterior discrete semi-flow

    Homology, Homotopy and Applications, Vol. 21, Núm. 2, pp. 83-106

2018

  1. Self-overlays and symmetries of Julia sets of expanding maps

    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A Matemáticas, Vol. 112, Núm. 3, pp. 829-848

  2. The shape of the Julia set of an expanding rational map

    Topology and its Applications, Vol. 239, pp. 251-273

2017

  1. Omega limits, prolongational limits and almost periodic points of a continuous flow via exterior spaces

    Glasnik Matematicki, Vol. 52, Núm. 2, pp. 295-329

  2. Prolongations, Suspensions and Telescopes

    Applied Categorical Structures, Vol. 5, Núm. 1, pp. 709-745

2016

  1. Bivariate Newton-Raphson method and toroidal attraction basins

    Numerical Algorithms, Vol. 71, Núm. 2, pp. 349-381

  2. Measures of the basins of attracting n-cycles for the relaxed Newton’s method

    Advances in Iterative Methods for Nonlinear Equations (Springer), pp. 211-245

  3. Self-overlays and shape of the Julia set of a rational map

    XV Encuentro de Álgebra computacional y aplicaciones: EACA 2016

2015

  1. Graphical representations for the homogeneous bivariate Newton's method

    Applied Mathematics and Computation, Vol. 269, pp. 988-1006

2014

  1. A completion construction for continuous dynamical systems

    Topological Methods in Nonlinear Analysis, Vol. 44, Núm. 2, pp. 497-526

  2. Influence of the multiplicity of the roots on the basins of attraction of Newton's method

    Numerical Algorithms, Vol. 66, Núm. 3, pp. 431-455

  3. Modelos de Quillen, espacios y flujos exteriores y algunas aplicaciones

    Zubía, Núm. 26, pp. 143-164

2013

  1. Limit and end functors of dynamical systems via exterior spaces

    Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 20, Núm. 5, pp. 937-959

2012

  1. Herramientas matemáticas e informáticas para el seguimiento de la polilla del racimo de la vid.

    Winetech, Vol. 2, pp. 11-14

  2. Path lifting methods and solutions of univariate polynomial equations

    Libro de Resúmenes del XIII Encuentro de Álgebra Computacional y Aplicaciones: EACA 2012

  3. Plotting basins of end points of rational maps with Sage

    Tbilisi Mathematical Journal, Vol. 5, Núm. 2, pp. 71-99