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A set of Wolfram Mathematica modules for fractal analysis of nonlinear dynamic systems. You only need to capture enough data from the output port of the system under study. You don't need to know internal states of the system in this method.

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MahdiKamer/Fractal-Analysis-Toolset

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Hello there, This is a Wolfram Language demo code that can be used in nonlinear mathematical analysis.

Folder contents:

1- ComModFracDimFuncs.wls

This file contains functions that can be easily copied to notebooks (if you have access to Mathematica fron end), package files or can be directly compiled using free licence Wolfram script.

2- ComModFracDimFuncs.md

This is same as 'ComModFracDimFuncs.wls' file. I just converted it to Markdown to glance the code on Github.

3- '02-delay_map_pwm_Dimension-CM.md'

This Markdown file only shows how the mother function works and how it visulise the data.

How to convert Mathematica notebooks to Markdown

1- For small size files you can follow the instruction https://github.com/kubaPod/M2MD
2- For large size files option one did not work for me and the following steps worked for me:
a- select all cells and change the notebook's input cells properties to Initialisation cells.
b- Save the file as script file (wls or m)
c- Open the sript file as plain text and put the code block into
```Mathematica

d- Save the file with md suffix.

How to compile Wolfram code with free licence and visualising data in Jupyter Notebook

https://web.engr.oregonstate.edu/~phamt3/Resource/Wolfram-Mathematica-With-JupyterLab.pdf

Needles to say the quaity and beauty of Methematica front end is far beyond Jupyter.

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A set of Wolfram Mathematica modules for fractal analysis of nonlinear dynamic systems. You only need to capture enough data from the output port of the system under study. You don't need to know internal states of the system in this method.

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