| Here are some basic Mathematica commands, and here are instructions on how to get Mathematica to work. |
| Here are some pieces of Mathematica code to produce return maps, Kelly plots, and driven IFS. For all these programs, enter the data as a comma-separated sequence of numbers between the curly brackets of the line |
| dlst = {}; |
| That is, if you want to study the sequence 1,2,3,4, you would paste these numbers between the brackets: |
| dlst = {1,2,3,4}; |
| Return map plots the points (xi,xi+1), that is, the return map. |
| Symbol-driven Kelly map generates a Kelly plot from data for which each color is assigned to exactly one data value. For example, 1 = red, 2 = green, etc. |
| Data-driven Kelly map generates a Kelly plot from data for which each color is assigned to a range of data values. For example, 0.90 to 1.29 for red, 1.30 to 1.59 for green, etc. |
| Symbol-driven IFS generates a driven IFS plot from data for which each IFS transformation is assigned to exactly one data value. For example, transformation 1 for 1, transformation 2 for 2, etc. |
| Data-driven IFS generates a driven IFS plot from data for which each transformation is assigned to a range of data values. For example, 0.90 to 1.29 for transformation 1, 1.30 to 1.59 for transformation 2, etc. |
| Here is the Mathematica code to generate values by the logistic map. |
| NonRandom Cartoon generates a broken-line fractal graph with no randomness involved in the iteration process. |
| Random Cartoon generates a broken-line fractal graph with randomness involved in the iteration process. |
| Mandelbrot set points generates points in the Mandelbrot set. |