| Program | Description |
|---|---|
| mword.py | A Python script to list median words shorter than a certain length.
A median word of n − 1
corresponds to a real cycle n-cycles.
(The original Fortran 77 code in Chapter 3.3 of the book is heavily optimized,
three-page long, and has too many GOTO statements.
The shorter Python script here should be more pedagogical.)
To list all cycles up to period-7 (Table 3.1 of the book), type
python mword.py 7
|
| renorm.ma |
A Mathematica script to find the universal limiting function of
f(x) = 1 − A xz
after many iterations by renormalization.
The logistic or quadratic map corresponds to
the z = 2 case.
The script is quite short (about ten lines), and after adjusting parameters,
such as
z
the number n of terms
in the expansion
f(x) =
1 − ∑Ak xk z.
Run the program as
math < renorm.ma
|
Last updated on April 2nd, 2014.