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Programs in Dynamics
Programs in Dynamics
Dmitry V. Khmelev
This site contains programs useful in studying dynamical systems
(mainly one-dimensional dynamics). Some of them might be useful for
you.
The following programs deal with dynamics of quadratic mapping
z®z2+c:
- locating quadratic mappings with essentially bounded
combinatorics (cascade),
- non-interactive drawing Julia sets, which can be distributed
over several computers using Parallel Virtual Machine
(pvmjulia),
- program by
Eugene
Zaustinskyfor interactive investigation of
Julia and Mandelbrot sets (xbmpl); I have significantly
improved original program by adding multiple precision arithmetics,
which is sometimes called deep zoom capability.
- dendrit for Siegel disk renormalization.
- rsegm - renormalization of Interval Exchange Transformation.
Notice that programs pvmjulia and xbmpl accept
configuration files produced by cascade program. Actually,
some additional utilities are supplied in the box with some of these
programs. E.g.
cascade This package also contains sources for program par3
(previous version of cascade with direct comparision of kneading
sequences) and splitseq for splitting kneading sequences into
blocks. See subdirectories in source .tar.gz file.
xbmpl Also contains utility gifinfo, which allows to
view parameters of the blowup of Julia/Mandelbrot sets saved to .gif
file.
All these programs except xbmpl are under GNU GPL v2 or
higher.
When you use these programs, please refer to the author:
D. Khmelev, Miscellaneous programs (MISC)
http://www.math.toronto.edu/dkhmelev/PROGS/
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