• Title of article

    Escape Chaotic Dimension using Iterated Function System that are not Based on Code Space Method

  • Author/Authors

    Mohammed, Arkan J. Al-Mustansiriah University - College of Science - Department of Mathematics, Iraq

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  • Abstract
    In this paper some IFS attractors are defined using the Escape Time Algorithm applied to certain dynamical system. This algorithm is used to compare how fast different points in the window W escape to the region V under the action of a dynamical system. The chaotic behavior of these attractors have been shown in a new way not based on code space method and a new approach for computing fractal dimension of these chaotic attractors are given which we called escape chaotic dimension. Two algorithms are proposed to find the attractors based on Escape Time Algorithm, and to find its fractal dimensions, they are carried out using Delphi Programming language.
  • Keywords
    Fractal dimension , Iterated Function System (IFS) , dynamical system , chaotic dynamical system , Escape Time Algorithm (ETA).
  • Journal title
    Al-Nahrain Journal Of Science
  • Journal title
    Al-Nahrain Journal Of Science
  • Record number

    2645577