Description

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

5.2.2] Where can I find specialized programs for nonlinear science? F-L

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 Löffelmann H., Gröller 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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