
Experimental Chaos
Summer School  http://www.camtp.unimb.si/chaos/2005/
Let's Face Chaos through Nonlinear Dynamics 
Center for Applied Mathematics and Theoretical Physics, University of Maribor, Slovenia
26 June  10 July 2005
 http://www.yiin.ca/chaos/
Covers the geometric concept of fractals and how they are generated by
reiterative functions. Includes illustrations. Compares chaos to randomness and explains the
difference. 
A Farewell to
Chaos  http://www.quatuor.org/home.htm
A conception of decimal numbers that shows the birth of a new dimension in a
natural phenomenon, and the inevitable and simultaneous surge of chaos. With this conception,
fractal dimensions of Mandelbrot become more general than the whole dimensions with coordinates, and
the paradoxes of Cantor's infinite numbers vanish. 
A Route
into Chaos: The Logistic Equation  http://library.thinkquest.org/C005375/start.html
An introduction to the sequence related functions used. Tells how to solve for
the first fixed points. 
An
experimental approach to nonlinear dynamics and chaos  http://cnls.lanl.gov/People/nbt//Book/node1.html
This book provides an elementary introduction to the basic theoretical and
experimental tools necessary to begin research into the nonlinear behavior of mechanical,
electrical, optical, and other systems. 
AUTO WWW
Site  http://indy.cs.concordia.ca/auto/
The official WWW site for AUTO, the Continuation and Bifurcation Software for
Ordinary Differential Equations. Topics include Bibliography, Documentation, and
Download. 
Billiards
and Chaos Theory  http://serendip.brynmawr.edu/chaos/home.html
An interactive applet that shows billiard motion in various shaped
tables. 
Centre for Chaos
Control & Synchronization  http://www.ee.cityu.edu.hk/~cccs/
Focuses on fundamental research on and industrial applications of chaos control
and synchronization. Located at City University of Hong Kong. 
Chaos at
Maryland  http://wwwchaos.umd.edu/
Details on the University of Maryland's Chaos Group. Chaos papers, gallery,
database, abstracts, software, and book recommendations. 
Chaos in
Chemical Systems  http://www.chem.leeds.ac.uk/chaos/Osc.html
Presented by the Chemical Kinetics group, University of
Leeds. 
Chaos
Metalink  http://www.industrialstreet.net/chaosmetalink/
The Chaos MetaLink is a resource for the Chaos community and all those interested
in Chaos and things fractal. Bringing Chaos to the Web since 1995. 
Chaos Research
Group  http://wwwchaos.engr.utk.edu/
Interdisciplinary group at the University of Tennessee studying deterministic
chaos and nonlinear dynamics in engineering systems. 
Chaos
Theory  http://www.duke.edu/~mjd/chaos/chaos.html
An Introduction to Mathematical Chaos Theory and Fractal Geometry, by Manus J.
Donahue III. 
Chaos Theory
and Education  http://www.libraryreference.org/chaos.html
Describes how chaos theory can be applied to education and
teaching. 
Chaos Theory: A Brief
Intro  http://www.imho.com/grae/chaos/
A brief introduction to chaos theory, and an essay describing fractional
dimensions. By Gregory Rae and Dennis Courtney. 
Chaos: Making a New
Science (James Gleick)  http://www.around.com/chaos.html
An excerpt from the awardwinning bestseller that brought the forefront of chaos
research to public eye for the first time (includes link to bookstore site) 
Classical And Quantum
Chaos  http://www.nbi.dk/ChaosBook/
Lecture notes on periodic orbits: A comprehensive
webbook. 
Climate
Dynamics, Chaos and Quantum Mechanics  http://www.geocities.com/CapeCanaveral/Lab/5833
A theory of everything for chaos,quantum mechanics and gravity applicable to
subatomic dynamics as well as turbulent fluid flows. 
CompLexicon  http://www.exploratorium.edu/complexity/CompLexicon.html
A crossreferenced guide to the concepts, terminology, and key figures of modern
dynamics, the main tools used to investigate complexity in nature. 
Continued Fractions and
Chaos  http://www.cecm.sfu.ca/organics/papers/corless/index.html
An activated text by Robert Corless. 
Crawling Chaos
Labs  http://www.k4d4th.org/
Research labs devoted to Chaos Mathematics and Fractal Topology in 3+
dimensions. 
Dynamical Systems and
Technology Project  http://math.bu.edu/DYSYS/
A project designed to help secondary school and college teachers of mathematics
bring contemporary topics in mathematics (chaos, fractals, dynamics) into the
classroom. 
Emergence of
Chaos  http://www.cuttheknot.com/blue/chaos.html
Demonstration of how chaos emerges following a change in a
parameter. 
Experimental
Chaos Conference  http://www.experimentalchaosconference.org
Biennial meeting focusing on experimental work in nonlinear dynamics and
chaos. 
Feigenbaum
Constants  http://pauillac.inria.fr/algo/bsolve/constant/fgnbaum/fgnbaum.html
Illustrates how to generate the constants through different
cycles. 
Java
Chaos Simulator  http://www.students.bucknell.edu/tgoodman/Chaos/
Allows the user to create a variety of classical systems similar to billiard
tables. It then simulates the behavior of an enclosed object. Includes an animated tutorial and
system requirements. 
Lindenmayer
Systems: Tutorials  http://www2.informatik.unierlangen.de/~jacob/LSystems/LSystemsTutorials
.html
Modelling of Plants and Fractals with Lsystems. A brief collection of web
references by Christian Jacob. 
Nonlinear Dynamics  http://archives.math.utk.edu/topics/nonlinearDynamics.html
A comprehensive listing of nonlinear dynamics pages. 
Nonlinear Dynamics
Bibliography  http://www.unimainz.de/FB/Physik/Chaos/chaosbib.html
Searchable and downloadable bibliography of scientific papers on nonlinear
dynamics and chaos. 
Nonlinear
Sites  http://cnls.lanl.gov/~nbt/sites.html
List of links to nonlinear, chaos and turbulence sites. 
The Chaos
Game  http://www.geocities.com/ResearchTriangle/System/8956/Fractal/intro.htm
This site outlines Barnsley's Chaos Game, in which a random number generator is
used to produce various fractals. 
The Chaos
Hypertextbook  http://hypertextbook.com/chaos/
The theory behind the sumptuous images and technical jargon of chaos, fractals,
and nonlinear dynamics. Simple experiments for programmable calculators, instructions for drawing
fractal images, and the meanings of dimension. 
The
Combustion Chaos Group  http://vip.cs.utsa.edu/flames/overview.html
Research at the University of Houston and the University of Texas at San Antonio
on burnerstabilized premixed flames and techniques for analyzing patternforming
systems. 
The
Computational Beauty of Nature  http://mitpress.mit.edu/books/FLAOH/cbnhtml/
Companion site for the book by Gary William Flake. Contains applets and source
code for simulations of fractals, chaos, complex systems, and adaptation. 
The
Feigenbaum Fractal  http://www.stud.ntnu.no/~berland/math/feigenbaum/
Complete runthrough of the Feigenbaum fractal. 
The Macsin Research
Group  http://www.cpdee.ufmg.br/~MACSIN/
One of the research groups at CPDEE  UFMG, concerned with various aspects of
modeling, analysis and control of systems which display nonlinear dynamics and
chaos. 
UK Nonlinear News  http://www.amsta.leeds.ac.uk/Applied/news.dir/index.html
Quarterly newsletter of nonlinear research in the UK. 
Visual Math
Institute  http://www.vismath.org/
Nonprofit research institute devoted to mathematics, dynamical systems theory,
chaos theory, applications, and education. 
Yahoo Groups:
Caostheory  http://groups.yahoo.com/group/caostheory/
Discusses the field of chaos theory and it's applications in various fields, such
as medicine, astronomy and art.



3D Fractals using Bicomplex Dynamics  http://www.3dfractals.com/
The Tetrabrot is the bicomplex generalization of the Mandelbrot set as realized by Dominic 'Ramdam' Rochon. Articles, pictures, news and other downloads. 
A Fractal Christmas  http://www.aip.org/isns/reports/2003/086.html
Article with links from Inside Science News Service. 
A Sketchbook on Lsystems  http://coco.ccu.uniovi.es/malva/sketchbook/
Modeling and visualization of plants using parametric L systems. 
An Introduction To Fractals  http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/
Gives definition and explains the different types of formulas used. Includes illustrations and bibliography. 
Chaos Theory and Fractals  http://www.mathjmendl.org/chaos/
History of chaos as well as extensive information on Chaos Theory and fractals. Contains several pictures of fractals and links to other Chaos Theory and fractals pages. 
Chaos, Fractals And Attractors In Science  http://www.geocities.com/ecometry
Chaos theory is a popular name for the theory of Dynamical Systems (DS), mainly for nonlinear systems. The theory covers many aspects of the life of DS, all of them have the same characteristics, they were born, they lived and they died. 
Chaos, Fractals, and Arcadia  http://math.bu.edu/DYSYS/arcadia/
Animated description of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. 
Climate Dynamics  http://www.geocities.com/CapeCanaveral/Lab/5833/
Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. 
Dynamical Systems and Technology Project  http://math.bu.edu/DYSYS/dysys.html
An educational site on chaos and fractals. 
efg's Computer Lab: Fractals and Chaos Page  http://www.efg2.com/Lab/FractalsAndChaos
Several Fractal and Chaos projects, including "Evolution of Mandelbrot Set," Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors. 
Fractal Adventures  http://home.att.net/~Novak.S/
The purpose of this site is to help the beginner to create fractal images. An overview of programs is provided along with a programrelated fractal Gallery. 
Fractal Archipelago  http://www.swiss.ai.mit.edu/~rauch/islands
Shows how fractals describe the shape of coastlines, and presents an "atlas" of fractal islands. 
Fractal Clouds  http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalClouds.html
Information on fractal (water) clouds, including descriptions of cloud types, movies and a glossary. 
Fractal Dimensions  http://math.rice.edu/~lanius/fractals/dim.html
An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals. 
Fractal Explorer  http://www.geocities.com/fabioc
A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator. 
Fractal Geometry at Yale University  http://classes.yale.edu/fractals/
Written by Michael Frame, Benoit Mandelbrot, and Nial Neger. Covers the concept of self similarity in these types of formulas and different kinds of algorithms used to generate these images. Other topics include bifurcation, dimensions, chaos theory and applications. Also, has downloadable software and teaching resources. 
Fractal Map  http://frac.samurajdata.se/
A fun and addictive online Mandelbrot viewer. 
Fractal Pages at Thinks.com  http://thinks.com/fractals.htm
Enter the wonderful world of fractals  where mathematics meets art and music. 
Fractal Text  http://b435boas.stanford.edu/home/science/ftext/index.html
Turn words into fractals. 
Fractals and Chaos  http://astronomy.swin.edu.au/~pbourke/fractals/
Provides images, quotes and information on the different types of fractals. 
Fractals and Scale  http://life.csu.edu.au/complex/tutorials/tutorial3.html
Discusses original concepts behind fractals and applications of their scales. 
Fractals by Paul Bourke  http://www.swin.edu.au/astronomy/pbourke/fractals/
Images of several attractors, some Newton Raphson method fractals, and L systems. Includes programs and explanations how to write such programs. 
Fractals Unleashed  http://library.thinkquest.org/26242/
Contains applications, lots of Java applets and CGI programs, gallery, and a art contest. Download software and learn how to program fractals. 
Groupe Fractales  http://wwwrocq.inria.fr/fractales/
Research group at INRIA Rocquencourt. Research details, publications and software: FRACLAB, Algon, Xalpha, EASEA. 
IFS Attractors  http://www.meden.demon.co.uk/Fractals/fractals.html
Index to Named Fractals. 
Interactive 3D Fractals  http://www.ibiblio.org/enotes/3Dapp/Mount.htm
Shows how to create fractal mountains, 3D Mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds. 
Introduction to Fractal Lacunarity  http://wwwswiss.ai.mit.edu/~rauch/lacunarity/lacunarity.html
Lacunarity is a counterpart to the fractal dimension, and describes the degree of gappiness of a fractal. Uses in ecology, and image analysis. 
Iterations and the Mandelbrot Set  http://www.cuttheknot.com/blue/Mandel.html
Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. 
Limit Sets of Kleinian Groups  http://klein.math.okstate.edu/kleinian/
Graphics, software. 
Mandelbrot and Julia Set Explorer  http://aleph0.clarku.edu/~djoyce/julia/explorer.html
Clark University hosts various graphic images and links to fractal and other mathematical methods of imaging. 
Mandelbrot Set Explorer  http://www.users.nac.net/thegangof4/blackSaturn/mandelbrot/MandelbrotSetExplorer.htm
A Java applet for discovering interesting regions of the Mandelbrot Set. 
Mathematical Figures Using Mathematica  http://mathforum.org/advanced/robertd/index.html
Robert M. Dickau's page. The "Fractals and Chaos" section has figures of attractors, Lsystems in 2 and 3 dimensions, Sierpinski gaskets, bifurcation, and Julia and Mandelbrot sets. Includes Mathematica code. 
Newton Basins  http://aleph0.clarku.edu/~djoyce/newton/newton.html
Introduction to basins of attraction for Newton's method and the fractals they form. 
Our Fractal Universe  http://library.thinkquest.org/25810/
A site devoted to covering many different aspects of fractals, such as mathematics, music, applications, image compression, and advanced math. 
Quantum Jumps, EEQT and the Five Platonic Fractals  http://www.cassiopaea.org/quantum_future/papers/qfract/
Explains how quantum jumps generate new family of fractals on the spherical canvas S^2. Includes graphics in several formats. 
Sean Reed's Fractal Resource Page  http://wind.prohosting.com/sreed1/fractal.html
Includes images, information and resource links. 
Technocosm  http://technocosm.org/chaos/
Focuses on the visualization of three dimensional strange attractors. Includes formula derivations and image galleries. 
The 3x + 1 Fractal  http://www.geocities.com/windmill96/collatz/cfractal.html
A paper that generalizes the famous 3x + 1 (or Collatz) problem to complex numbers, and in the process, introduces a striking new fractal. 
The Computational Beauty of Nature  http://mitpress.mit.edu/books/FLAOH/cbnhtml/
Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation. 
The Fractal Foundation  http://www.fractalfoundation.org
Inspiring and educating people about Fractals, Chaos Theory and the interconnectedness of complex systems. Our Fractal Balloons are a highly visible fusion of art and technology. 
The Mandelbrot and Julia Sets Anatomy  http://www.ibiblio.org/enotes/MSet/Contents.htm
A virtual investigation with interactive, animated fractals, articles and fractal math equations. 
The Spanky Fractal Database  http://spanky.triumf.ca/
Large categorized index of software, information and links. 
What are Fractals?  http://www.jracademy.com/~jtucek/math/fractals.html
Explanation of fractals, along with fractal art and uses. 
 
