Chaos Demonstrations 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ドル.
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ドル
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 Data,
Springer-Verlag. System: Unix-Motif, Windows 95/NT For more
info see: http://www.zweb.com/apnonlin/csp.html
AUTO 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 auto.tar.Z. System: versions to run under X windows--SUN
or sgi or LINUX Available: anonymous ftp from ftp://ftp.cs.concordia.ca/pub/doedel/auto
BZphase 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 Available: http://members.tripod.com/~RedAndr/BZPhase.htm
Chaos 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 Available: http://msg.das.bnl.gov/~bstewart/software.html
Chaos 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. Available: $$http://www.springer-ny.com/catalog/np/updates/0-387-57457-3.html
CHAOS II Chaos Programs to go with Baker, G. L. and J. P. Gollub
(1990) Chaotic Dynamics. Cambridge, Cambridge Univ. http://www.cup.org/titles/catalogue.asp?isbn=0521471060 System:
IBM, 512K memory, CGA or EGA graphics, True Basic For more info:
contact Gregory Baker, P.O. Box 278 ,Bryn Athyn, PA, 19009
Chaos Analyser Programs to Time delay embedding, Attractor (3d)
viewing and animation, Poincaré sections, Mutual information, Singular
Value Decomposition embedding, Full Lyapunov spectra (with noise cancellation),
Local SVD analysis (for determining the systems dimension). By Mike
Banbrook. System: Unix, X windows For more info: http://www.ee.ed.ac.uk/~mb/analysis_progs.html
Chaos Cookbook These programs go with J. Pritchard's book,
The Chaos Cookbook System: Programs written in Visual Basic & Turbo
Pascal Available: $$http://www.amazon.com/exec/obidos/ASIN/0750617772
Cubic Oscillator Explorer The CUBIC OSCILLATOR EXPLORER is a
Macintosh application which allows interactive exploration of the chaotic
processes of the Cubic Oscillator, i.e..Duffing's equation. System:
Macintosh + Digidesign DSP card, Digisystem init 2.6 and (optional) MIDI
Manager Available: (Missing??) Fractal Music
DataPlore 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 Available: $$http://www.datan.de/dataplore/
dstool Free software from Guckenheimer's group at Cornell;
DSTool has lots of examples of chaotic systems, Poincaré sections,
bifurcation diagrams. System: Unix, X windows. Available: ftp://cam.cornell.edu/pub/dstool/
Dynamical Software Pro Analyze non-linear dynamics and chaos.
Includes ODEs, delay differential equations, discrete maps, numerical
integration, time series embedding, etc. System: DOS. Microsoft
Fortran compiler for user defined equations. Available: SciTech http://www.scitechint.com/
Dynamics: Numerical Explorations. A book + disk by H. Nusse,
and J.Yorke. A hands on approach to learning the concepts and the many aspects
in computing relevant quantities in chaos System: PC-compatible
computer or X-windows system on Unix computers Available: $$ http://www.springer-ny.com/detail.tpl?isbn=0387982647
Dynamics Solver 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 Available: http://tp.lc.ehu.es/jma/ds/ds.html
DynaSys Phase plane portraits of 2D ODEs by Etienne
Dupuis System: Windows 95/98 Available: (Missing??)
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/
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 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/
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??
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/Ode200.exe
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: http://www.phaser.com/
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 Availablehttp://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/Scilab
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/STELLAVPSR.htm
Time Series Analysis from Darmstadt Four prgrams Time Series
analysis and Dimension calculation from the Institute of Applied Physics at
Darmstadt. System: OS2 or Solaris/Linux/Win9X/NT + Fortran
source For more info: http://www.physik.tu-darmstadt.de/nlp/distribution.html
Time Series Analysis from Kennel The program mkball finds the
minimum embedding dimension using the false strands enhancement of the false
neighbors algorithm of Kennel & Abarbanel. System: any C
compiler Available: ftp://lyapunov.ucsd.edu/pub/nonlinear/mbkall.tar.gz
TISEANTime Series Analysis Agorithms for data
representation, prediction, noise reduction, dimension and Lyapunov estimation,
and nonlinearity testing. By Rainer Hegger, Holger Kantz and Thomas
Schreiber System: C, C++ and Fortran Codes for
Unix, Available: http://www.mpipks-dresden.mpg.de/~tisean/
Unified Life Models (ULM) ULM, by Stephane Legendre, is a
program to study population dynamics and more generally, discrete dynamical
systems. It models any species life cycle graph (matrix models) inter- and
intra-specific competition (non linear systems), environmental stochasticity,
demographic stochasticity (branching processes), and metapopulations,
migrations (coupled systems). System: PC/Windows
3.X Available: from http://www.snv.jussieu.fr
VRA (Visual Recurrence Analysis) VRA is a software to display
and Study the recurrence plots, first described by Eckmann, Oliffson Kamphorst
And Ruelle in 1987. With RP, one can graphically detect hidden patterns and
structural changes in data or see similarities in patterns across the time
series under study. By Eugene Kononov Stystem: Windows
95 Available: http://pweb.netcom.com/~eugenek/download.html
Xphased Phase 3D plane program for X-windows systems (for
systems like Lorenz, Rossler). Plot, rotate in 3-d, Poincaré sections,
etc. By Thomas P. Witelski System: X-windows, Unix, SunOS 4
binary Available: http://www.alumni.caltech.edu/~witelski/xphased.html
XPP-Aut Differential equations and maps for x-windows systems.
Links to Auto for bifurcation analysis. By Bard Ermentrout System:
X-windows, Binaries for many unix systems Available : ftp://ftp.math.pitt.edu/pub/bardware/tut/start.html
XSpiral Simulate pattern formation in 2-D excitable media (in
particular 2 models, one of them the FitzHugh-Nagumo). By Flavio
Fenton. System: X-windows Available : (Missing??)