[5] Computational Resources

The Academic Software Library:
 Chaos Simulations
Bessoir, T., and A. Wolf, 1990. Demonstrates logistic map, Lyapunov
exponents, billiards in a stadium, sensitive dependence, nbody
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>
 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) 955TASL. $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 HenonHeils system. By R. Rollins.
System: IBM PC or compatible, 512 KB memory.
Available: The Academic Software Library, (800) 955TASL,
$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 Data, SpringerVerlag.
System: UnixMotif, 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 windowsSUN 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 threedimensional phase space; based on
visual algorithms rather than canned numerical algorithms; wellsuited
for educational use; comes with tutorial exercises. By Bruce Stewart
System: Silicon Graphics workstations, IBM RISC workstations with
GL
Available :<http://www.scivis.com/software.html>
 Chaos
A Program Collection for the PC by Korsch, H.J. and HJ. Jodl, 1994,
A book/disk combo that gives a handson, computer experiment approach to
learning nonlinear dynamics. Some of the modules cover billiard systems,
double pendulum, Duffing oscillator, 1D iterative maps, an "electronic
chaosgenerator", the Mandelbrot set, and ODEs.
System: IBM PC or compatible.
Available: $$<http://www.springerny.com/catalog/np/updates/0387574573.html>
 CHAOS II
Chaos Programs to go with Baker, G. L. and J. P. Gollub (1990)
Chaotic Dynamics. Cambridge, Cambridge Univ. <http://www.cup.org/Titles/38/052138897X.html>
System: IBM, 512K memory, CGA or EGA graphics, True Basic
For more info: contact Gregory Baker, P.O. Box 278 ,Bryn Athyn,
PA, 19009
 Chaos Analyser
Programs to Time delay embedding, Attractor (3d) viewing and
animation, Poincaré sections, Mutual information, Singular Value
Decomposition embedding, Full Lyapunov spectra (with noise cancellation),
Local SVD analysis (for determining the systems dimension). By Mike
Banbrook.
System: Unix, X windows
For more info: <http://www.ee.ed.ac.uk/~mb/analysis_progs.html>
 Chaos Cookbook
These programs go with J. Pritchard's book, The Chaos Cookbook
System: Programs written in Visual Basic & Turbo Pascal
Available: $$<http://www.amazon.com/exec/obidos/ASIN/0750617772>
 Chaos Plot
ChaosPlot is a simple program which plots the chaotic behavior of a
damped, driven anharmonic oscillator.
System: Macintosh
For more info: <
http://archives.math.utk.edu/software/mac/diffEquations/.directory.html>
 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: <http://wwwks.rus.unistuttgart.de/people/schulz/fmusic/>
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: $$<http://www.datan.de/dataplore/>
 dstool
Free software from Guckenheimer's group at Cornell; DSTool has lots
of examples of chaotic systems, Poincaré sections, bifurcation
diagrams.
System: Unix, X windows.
Available: <ftp://cam.cornell.edu/pub/dstool/>
 Dynamical Software Pro
Analyze nonlinear dynamics and chaos. Includes ODEs, delay
differential equations, discrete maps, numerical integration, time series
embedding, etc.
System: DOS. Microsoft Fortran compiler for user defined
equations.
Available: SciTech <http://www.scitechint.com/>
 Dynamics: Numerical Explorations.
A book + disk by H. Nusse, and J.Yorke. A hands on approach to
learning the concepts and the many aspects in computing relevant
quantities in chaos
System: PCcompatible computer or Xwindows system on Unix
computers
Available: $$ <http://www.springerny.com/catalog/np/jun97np/DATA/0387982647.html>
 Dynamics Solver
Dynamics Solver solve numerically both initialvalue problems and
boundaryvalue 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: <http://www3.sympatico.ca/etiennemelanie/dynasys/>
 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: PCcompatible computer, Windows 3.1
Available: <http://www.ucl.ac.uk/~zcapn39/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 2D vector graphics in many file formats, and for doing vector
graphics animations. The package also contains several commandline
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 reactiondiffusion 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,
10811089 (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 threedimensional 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 onedimensional (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 nonlinear ordinary
differential equations ODE's and maps. By Khibnik, Nikolaev,
Kuznetsov and V. Levitin
System: DOS version 3.0 or higher.
Available: <http://www.can.nl/AboutCAN/ExpertiseCenter/softwares.html>
 Lyapunov Exponents
Keith Briggs Fortran codes for Lyapunov exponents
System: any with a Fortran compiler
Available: <http://www.labs.bt.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/~wolf/chaos/chaos.htm>
 Lyapunov Exponents and Time Series
Michael Banbrook's C codes for Lyapunov exponents & time series
analysis
System: Sun with X windows.
Available: <http://www.ee.ed.ac.uk/~mb/analysis_progs.html>
 Lyapunov Exponents Toolbox (LET)
A usercontributed 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, 116, (1997)
System: Matlab
Available: <http://www.usc.edu/dept/engineering/mecheng/DynCon/>
 Macintosh Dynamics Programs
List available at: <http://hypertextbook.com/chaos/92.shtml>
 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/macmath.html>
Available: $$ SpringerVerlag <http://www.springerny.com/math/text_books/de_und.htm>
 Madonna
Solves Differential and Difference Equations. Runs STELLA. Has a
parser with a control language.
System: Macintosh or Windows PC
Available : <http://www.kagi.com/authors/madonna/default.html>
 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: PCcompatible 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 : <http://www.physics.gatech.edu/chaos/research/NDT.html>
 NLD Toolbox
This toolbox has many of the standard dynamical systems, By Jeff
Brush
System: PC, MSDOS.
Available: <http://www.physik.tudarmstadt.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/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
1D4D differential equationsmany not chaoticand 1D3D difference
equations.
System: PCcompatible
Available: SpringerVerlag <http://www.springerny.com/math/text_books/de_und.htm>
 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/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/pub/dynamics/programs/>
 STELLA
Simulates dynamics for Biological and Social systems modelling. Uses
a building block metaphor constructing models.
System: Macintosh and Windows PC
Available: $$ <http://www.hpsinc.com/edu/stella/stella.htm>
 Time Series Tools
An extensive list of Unix tools for Time Series analysis
System: Unix
For more info: <http://chuchi.df.uba.ar/guille/TS/tools/tools.html>
 Time Series Analysis from Darmstadt
Four prgrams Time Series analysis and Dimension calculation. Three of
them look like codes for OS2 (haven't confirmed this), and one is a std
Fortran source
System: OS2 and/or Fortran
For more info: <http://www.physik.thdarmstadt.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>
 TISEAN Time 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.mpipksdresden.mpg.de/~tisean/>
 Tufillaro's Programs
From the book Nonlinear Dynamics and Chaos by Tufillaro, Abbot and
Reilly (1992) (for a sample section see <http://cnls.lanl.gov/People/nbt/Book/openall3.ps>).
A collection of programs for the Macintosh.
System: Macintosh
Available: <http://www.aquahue.net/aquahue/_.....html>
 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 intraspecific 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>
 Virtual Laboratory
Simulations of 2D active media by the Complex Systems Group at the
Max Planck Inst. in Berlin.
System: Requires PVWave by Visual Numerics $$<http://www.vni.com/products/wave/>
Available: $$<http://w3.Rzberlin.mpg.de/~oertzen/vlg/virtlab.html>
 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 95NT
Available: <http://www.visualization2002.org/VRA_MAIN_PAGE_.html>
 Xphased
Phase 3D plane program for Xwindows systems (for systems like
Lorenz, Rossler). Plot, rotate in 3d, Poincaré sections, etc. By
Thomas P. Witelski
System: Xwindows, Unix, SunOS 4 binary
Available: <http://www.alumni.caltech.edu/~witelski/xphased.html>
 XPPAut
Differential equations and maps for xwindows systems. Links to Auto
for bifurcation analysis. By Bard Ermentrout
System: Xwindows, Binaries for many unix systems
Available : <http://www.math.pitt.edu/~bard/xpp/xpp.html>
 XSpiral
Simulate pattern formation in 2D excitable media (in particular 2
models, one of them the FitzHughNagumo). By Flavio Fenton.
System: Xwindows
Available : <http://albert.physics.neu.edu/pages/Flavio.Fenton/xspiral/>
back to table of contents