Approximating The Correlation Dimension Of The Fractal Attractor Of Iterated Function System

Abstract

An approximation of fractal correlation dimension for the fractal attractor that generated by an iterated function system (IFS) has been investigated. The Grassberger-Procaccia algorithm, which is based on computing the correlation function was used in this research paper. Computing the correlation function, was implemented using the Matlab program. A log-log (logarithmic scale) graph of the correlation function versus the distances between every pair of points in the fractal attractor is an approximate of the correlation dimension of the fractal attractor.AMS classification: 28A80.