A New Approach for Finding Correlation Dimension Based on Escape Time Algorithm

Dr.Arkan Jassim Mohammed, Noora Ahmed Mohammed

There are many technique to approximate the dimension of fractal sets. A famous technique to approximate the fractal dimension is correlation dimension. In this paper, we propose a new approach to compute the correlation dimension of fractals generated by the Escape Time Algorithm (ETA) and computing the correlation function by Grassberger-Procaccia method, was implemented using the Matlab program. A log –log graph is plotted by matlab program, the result will be an approximate polynomial of degree one (straight line) that’s fits the data in a least square method. The correlation dimension of fractal object is the slope of this straight line.