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

FD3

A program to estimate fractal dimensions of a set. By DiFalco/Sarraille

System: C source code, suitable for compiling for use on a Unix or DOS

platform.

Available: ftp://ftp.cs.csustan.edu/pub/fd3/

FracGen

FracGen is a freeware program to create fractal images using Iterated

Function Systems. A tutorial is provided with the program. By Patrick Bangert

System: PC-compatible computer, Windows 3.1

Available: http://212.201.48.1/pbangert/site/fracgen.html

Fractal Domains

Generates of Mandelbrot and Julia sets. By Dennis C. De Mars

System: Power Macintosh

Available: http://www.fractaldomains.com/

Fractal Explorer

Generates Mandelbrot and Newton's method fractals. By Peter Stone

System: Power Macintosh

Available: http://usrwww.mpx.com.au/~peterstone/index.html

GNU Plotutils

The GNU plotutils package contains C/C++ function library for exporting 2-D

vector graphics in many file formats, and for doing vector graphics

animations. The package also contains several command-line programs for

plotting scientific data, such as GNU graph, which is based on libplot, and

ODE integration software.

System: GNU/Linux, FreeBSD, and Unix systems.

Available: http://www.gnu.org/software/plotutils/plotutils.html

Ilya

A program to visually study a reaction-diffusion model based on the

Brusselator from Future Skills Software, Herber Sauro.

System: Requires Windows 95, at least 256 colours

Available : http://www.fssc.demon.co.uk/rdiffusion/ilya.htm

INSITE

(It's a Nonlinear Systems Investigative Toolkit for Everyone) is a collection

for the simulation and characterization of dynamical systems, with an emphasis

on chaotic systems. Companion software for T.S. Parker and L.O. Chua (1989)

Practical Numerical Algorithms for Chaotic Systems Springer Verlag. See their

paper "INSITE A Software Toolkit for the Analysis of Nonlinear Dynamical

Systems," Proc. of the IEEE, 75, 1081-1089 (1987).

System: C codes in Unix Tar or DOS format (later requires QuickWindowC

or MetaWINDOW/Plus 3.7C. and MS C compiler 5.1)

Available: INSITE SOFTWARE, p.o. Box 9662, Berkeley, CA , U.S.A.

Institut fur ComputerGraphik

A collection of programs for developing advanced visualization techniques in

the field of three-dimensional dynamical systems. By LĂ¶ffelmann H., GrĂ¶ller E.

System: various, requires AVS

Available: http://www.cg.tuwien.ac.at/research/vis/dynsys/

KAOS1D

A tool for studying one-dimensional (1D) discrete dynamical systems. Does

bifurcation diagrams, etc. for a number of maps

System: PC compatible computer, DOS, VGA graphics

Available: http://www.if.ufrgs.br/~arenzon/jsoftw.html

LOCBIF

An interactive tool for bifurcation analysis of non-linear ordinary

differential equations ODE's and maps. By Khibnik, Nikolaev, Kuznetsov and V.

Levitin

System: Now part of XPP (See below)

Available: http://www.math.pitt.edu/~bard/classes/wppdoc/locbif.html

Lyapunov Exponents

Keith Briggs Fortran codes for Lyapunov exponents

System: any with a Fortran compiler

Available: http://more.btexact.com/people/briggsk2/

Lyapunov Exponents and Time Series

Based on Alan Wolf's algorithm, see [2.11], but a more efficient version.

System: Comes as C source, Fortran source, PC executable, etc

Available: http://www.cooper.edu/engineering/physics/wolf/ (Seems to be

missing?)

Lyapunov Exponents and Time Series

Michael Banbrook's C codes for Lyapunov exponents & time series analysis

System: Sun with X windows.

Available: http://www.see.ed.ac.uk/~mb/analysis_progs.html

Lyapunov Exponents Toolbox (LET)

A user-contributed MATLAB toolbox that provides a graphical user interface

for users to determine the full sets of Lyapunov exponents and Lyapunov

dimensions of discrete and continuous chaotic systems.

System: MATLAB 5

Available: ftp://ftp.mathworks.com/pub/contrib/v5/misc/let

Lyapunov.m

A Matlab program based on the QR Method , by von Bremen, Udwadia, and

Proskurowski, Physica D, vol. 101, 1-16, (1997)

System: Matlab

Available: http://www.usc.edu/dept/engineering/mecheng/DynCon/

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