Create a fractal curve of the output of a dynamic system with fixed parameters

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Energy minimization in LAMMPS using NVT ?

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Siavash Mohammadi

based on the figures of this subject (which is depend on constant parameters) , with image processing, it is possible to create a solution area to analyze the fractal of the system,

The following figures are an analysis of the Lorenz and Rossler dynamic system based on image processing that has led to the generation of the solution area.

A new solution for fractal analysis of enhance images by the power law transformation method:

By selecting the image type, the desired value for the gamma parameter is obtained, and by specifying the set of points (set of solution or optimal area) of the histogram diagram (brightness levels of the images), we analyze the fractal of the image.

According to the previous discussion (power law transformation method),

After determining the solution area, using nth degree of polynomials , the fitting of the curve is done according to the points on the histogram, and at the end, based on the obtained curve, we can analyze the fractal of the curve.