This article is from the Nonlinear Science FAQ, by James D. Meiss email@example.com with numerous contributions by others.
The Academic Software Library:
Bessoir, T., and A. Wolf, 1990. Demonstrates logistic map, Lyapunov exponents,
billiards in a stadium, sensitive dependence, n-body gravitational motion.
Chaos Data Analyser
A PC program for analyzing time series. By Sprott, J.C. and G. Rowlands.
For more info:http://sprott.physics.wisc.edu/cda.htm
A PC program for demonstrating chaos, fractals, cellular automata, and related
nonlinear phenomena. By J. C. Sprott and G. Rowlands.
System: IBM PC or compatible with at least 512K of memory.
Available: The Academic Software Library, (800) 955-TASL. $70.
Chaotic Dynamics Workbench
Performs interactive numerical experiments on systems modeled by ordinary
differential equations, including: four versions of driven Duffing
oscillators, pendulum, Lorenz, driven Van der Pol osc., driven Brusselator,
and the Henon-Heils system. By R. Rollins.
System: IBM PC or compatible, 512 KB memory.
Available: The Academic Software Library, (800) 955-TASL, $70
Applied Chaos Tools
Software package for time series analysis based on the UCSD group's, work.
This package is a companion for Abarbanel's book Analysis of Observed Chaotic
System: Unix-Motif, Windows 95/NT
For more info see: http://www.zweb.com/apnonlin/csp.html
Bifurcation/Continuation Software (THE standard). The latest version is
AUTO97. The GUI requires X and Motif to be present. There is also a command
line version AUTO86. The software is transported as a compressed file called
System: versions to run under X windows--SUN or sgi or LINUX
Available: anonymous ftp from ftp://ftp.cs.concordia.ca/pub/doedel/
Models Belousov- Zhabotinsky reaction based on the scheme of Ruoff and Noyes.
The dynamics ranges from simple quasisinusoidal oscillations to quasiperiodic,
bursting, complex periodic and chaotic.
System: DOS 6 and higher + PMODE/W DOS Extender. Also openGL version
Visual simulation in two- and three-dimensional phase space; based on visual
algorithms rather than canned numerical algorithms; well-suited for
educational use; comes with tutorial exercises. By Bruce Stewart
System: Silicon Graphics workstations, IBM RISC workstations with GL
A Program Collection for the PC by Korsch, H.J. and H-J. Jodl, 1994, A
book/disk combo that gives a hands-on, computer experiment approach to
learning nonlinear dynamics. Some of the modules cover billiard systems,
double pendulum, Duffing oscillator, 1D iterative maps, an "electronic chaos-
generator", the Mandelbrot set, and ODEs.
System: IBM PC or compatible.
Chaos Programs to go with Baker, G. L. and J. P. Gollub (1990) Chaotic
Dynamics. Cambridge, Cambridge Univ.
System: IBM, 512K memory, CGA or EGA graphics, True Basic
For more info: contact Gregory Baker, P.O. Box 278 ,Bryn Athyn, PA, 19009
Programs to Time delay embedding, Attractor (3d) viewing and animation,
Poincaré sections, Mutual information, Singular Value Decomposition embedding,
Full Lyapunov spectra (with noise cancellation), Local SVD analysis (for
determining the systems dimension). By Mike Banbrook.
System: Unix, X windows
For more info: http://www.ee.ed.ac.uk/~mb/analysis_progs.html
These programs go with J. Pritchard's book, The Chaos Cookbook System:
Programs written in Visual Basic & Turbo Pascal
ChaosPlot is a simple program which plots the chaotic behavior of a damped,
driven anharmonic oscillator.
For more info:
Cubic Oscillator Explorer
The CUBIC OSCILLATOR EXPLORER is a Macintosh application which allows
interactive exploration of the chaotic processes of the Cubic Oscillator,
System: Macintosh + Digidesign DSP card, Digisystem init 2.6 and (optional)
Available: (Missing??) Fractal Music
Signal and time series analysis package. Contains standard facilities for
signal processing as well as advanced features like wavelet techniques and
methods of nonlinear dynamics.
Systems: MS Windows, Linux, SUN Solaris 2.6
Free software from Guckenheimer's group at Cornell; DSTool has lots of
examples of chaotic systems, Poincaré sections, bifurcation diagrams.
System: Unix, X windows.
Dynamical Software Pro
Analyze non-linear dynamics and chaos. Includes ODEs, delay differential
equations, discrete maps, numerical integration, time series embedding, etc.
System: DOS. Microsoft Fortran compiler for user defined equations.
Available: SciTech http://www.scitechint.com/
Dynamics: Numerical Explorations.
A book + disk by H. Nusse, and J.Yorke. A hands on approach to learning the
concepts and the many aspects in computing relevant quantities in chaos
System: PC-compatible computer or X-windows system on Unix computers
Available: $$ http://www.springer-ny.com/detail.tpl?isbn=0387982647
Dynamics Solver solve numerically both initial-value problems and boundary-
value problems for continuous and discrete dynamical systems.
System: Windows 3.1 or Windows 95/98/NT
Phase plane portraits of 2D ODEs by Etienne Dupuis
System: Windows 95/98