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- ... I know, I know, only pictures. But so many people asked for it, so here
- it is. You'll have to chop off the header of one of the files once you unzip
- it, but it's really self explanatory. I could even compile it on a sparc
- without knowing c. Included is an example command - don't run it! I'll post
- it right after this, so that you can see the results. Here are some hints
- about the command options:
-
- -r (rows) - obvious
- -c (cols) - "
- -v (pipe to) - this has worked with xv, but I wouldn't recommend it for really
- large files.
- -p (positive exps) - haven't got this to do anything but a black screen.
- -# (parallel) - wish I could use this. If you have an SGI, you're in luck.
- A friend ran the same lyapunov about 5 times faster with this.
- -o (output) - obvious
- -l (colormap) - you'll want to use these. I'm posting a bunch in just a sec,
- or make your own.
- -m (min exp) - If all of your color-shift (where the colors are changing)
- seems to be happening in one place, this can spread it out
- considerably (or bunch it up more.) Default is -5. Negative
- numbers closer to zero spread it out more, farther from zero
- bunch it up more (i.e. more black, empty space.)
- -d (dwell) - can speed up or slow down the running, as well as affecting the
- output. Setting it below the default 2000 will increase the
- black, I think. Higher numbers give higher accuracy and slower
- run time.
- -s (settle) - about the same results as changing dwell, I think. default 600.
- -g (guess) - can change output. Make sure to guess a number between your
- min exp and zero.
- amin\
- amax \ These pick the part of lyapunov space you want to look at. Think
- bmin / of it as the a and b axes. Lyapunov space extends from 0 to infinity,
- bmax/ but the action is generally going on from 0 to 4. Most values >4
- just give black (chaos) or straight lines (boring). There are two
- interesting values where things happen: 2 and 3.23... If you got
- the big purple square with a hole in it a while back (lyap30.gif),
- its amin, amax, bmin, and bmax were 2, 3.23, 2, 3.23. Most of the
- jagged edges occur between 3.23 and 4. This program will work with
- very small variations, although something like 0 4 3.33333 3.33334
- will probably be only one color. Keep both axes scaled kind of close
- together.
-
- bits - make sure you have at least one a and b - ab, ba, bab, bbbbbbbbbabbbbb,
- etc. Otherwise you get straight lines.
-
- a is the vertical axis, b the horizontal. amin, bmin is in the bottom left
- corner.
-
- 0 3 1 2 ba gives the same as
- 1 2 0 3 ab. It is not the same thing as
- 1 2 0 3 ba.
-
- 0 3 1 2 baba gives the same as
- 0 3 1 2 ba.
-
- Questions welcome.
- Have fun storming the castle!
-
- Rusty
- rburlin@owlnet.rice.edu
-