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 (x_{i},x_{i+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. |