This article is from the Nonlinear Science FAQ, by James D. Meiss jdm@boulder.colorado.edu with numerous contributions by others.

Macintosh Dynamics Programs

Lists available at: http://hypertextbook.com/chaos/92.shtml

and http://www.xahlee.org/PageTwo_dir/MathPrograms_dir/mathPrograms.html

MacMath

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.

System: Macintosh

For more info: http://www.math.hmc.edu/codee/solvers/mac-math.html

Available: $$ Springer-Verlag http://www.springer-

ny.com/detail.tpl?isbn=0387941355

Madonna

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/

MatLab Chaos

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

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

Available: ftp://spanky.triumf.ca/pub/fractals/programs/ibmpc/

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??

NLD Toolbox

This toolbox has many of the standard dynamical systems, By Jeff Brush

System: PC, MS-DOS.

Available: http://www.physik.tu-darmstadt.de/nlp/nldtools/nldtools.html

ODECalc

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/

PHASER

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.

System: PC-compatible

Available: Springer-Verlag http://www.springer-

ny.com/detail.tpl?isbn=0387142029

PhysioToolkit

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

System: Unix

Available: http://www.physionet.org/physiotools/

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

Available:http://homepages.luc.edu/~cwebber/

SciLab

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/

StdMap

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.

System: Macintosh

Available: http://amath.colorado.edu/faculty/jdm/stdmap.html

STELLA

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

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