This article is from the Nonlinear Science FAQ, by James D. Meiss firstname.lastname@example.org with numerous contributions by others.
Macintosh Dynamics Programs
Lists available at: http://hypertextbook.com/chaos/92.shtml
Comes on a disk with the book MacMath, by Hubbard and West. A collection of
programs for dynamical systems (1 & 2 D maps, 1 to 3D flows). Version 9.2 is
the current version, but West is working on a much improved update.
For more info: http://www.math.hmc.edu/codee/solvers/mac-math.html
Available: $$ Springer-Verlag http://www.springer-
Solves Differential and Difference Equations. Runs STELLA. Has a parser with a
control language. By Robert Macey and George Oster at Berkeley
System: Macintosh or Windows 95 or later
Available : $$ http://www.berkeleymadonna.com/
A collection of routines for generate diagrams which illustrate chaotic
behavior associated with the logistic equation.
System: Requires MatLab.
Available : ftp://ftp.mathworks.com/pub/contrib/misc/chaos/
MTRCHAOS and MTRLYAP compute correlation dimension and largest Lyapunov
exponents, delay portraits. By Mike Rosenstein.
System: PC-compatible computer running DOS 3.1 or higher, 640K RAM, and EGA
display. VGA & coprocessor recommended
Nonlinear Dynamics Toolbox
Josh Reiss' NDT includes routines for the analysis of chaotic data, such as
power spectral analyses, determination of the Lyapunov spectrum, mutual
information function, prediction, noise reduction, and dimensional analysis.
System: Windows 95, 98, or NT
Available : Missing??
This toolbox has many of the standard dynamical systems, By Jeff Brush
System: PC, MS-DOS.
A program for integrating boundary value and initial value Problems for up to
9th order ODEs. By Optimal Designs.
System: PC 386+, DOS 3.3+, 16 bit arch.
Available : ftp://ftp.mecheng.asme.org/pub/EDU_TOOL/
Kocak, H., 1989. Differential and Difference Equations through Computer
Experiments: with a supplementary diskette containing PHASER: An
Animator/Simulator for Dynamical Systems. Demonstrates a large number of 1D-4D
differential equations--many not chaotic--and 1D-3D difference equations.
Available: Springer-Verlag http://www.springer-
Software for physiologic signal processing and analysis, detection of
physiologically significant events using both classical techniques and novel
methods based on statistical physics and nonlinear dynamics
Recurrence Quantification Analysis
Recurrence plots give a visual indication of deterministic behavior in complex
time series. The program, by Webber and Zbilut creates the plots and
quantifies the determinism with five measures.
System: DOS executable
A simulation program similar in intent to MatLab. It's primarily designed for
systems/signals work, and is large. From INRIA in France.
System: Unix, X Windows, 20 Meg Disk space.
Available : ftp://ftp.inria.fr/INRIA/Projects/Meta2/
Iterates Area Preserving Maps, by J. D. Meiss. Iterates 8 different maps. It
will find periodic orbits, cantori, stable and unstable manifolds, and allows
you to iterate curves.
Simulates dynamics for Biological and Social systems modelling. Uses a
building block metaphor constructing models.
System: Macintosh and Windows PC
Available: $$ http://www.hps-inc.com/edu/stella/stella.htm