Experimental Chaos Summer School http://www.camtp.uni-mb.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://www-chaos.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://www-chaos.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 award-winning 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 cross-referenced 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.cut-the-knot.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.uni-erlangen.de/~jacob/LSystems/LSystems-Tutorials .html
Modelling of Plants and Fractals with L-systems. 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.uni-mainz.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.




Online Chaos Course http://order.ph.utexas.edu/chaos/
A 5-part interactive and nontechnical introduction to chaos physics and chaotic motion in classical and quantum mechanics.

Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows http://www.geocities.com/CapeCanaveral/Lab/5833/prime3/Prime3.html
A.M. Selvam, Indian Institute of Tropical Meteorology.

sci.nonlinear FAQ http://amath.colorado.edu/faculty/jdm/faq.html
Version 1.5 (Sept. 2000) of the Frequently Asked Questions document for the newsgroup sci.nonlinear.

Society for Chaos Theory in Psychology and Life Sciences http://www.societyforchaostheory.org/
Membership information, publications, meetings, tutorials, other resources.

Society for Nonlinear Dynamics and Econometrics http://www-snde.rutgers.edu/SNDE/society/snde.html
Organization promoting the use of nonlinear methods in economics and finance.




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 burner-stabilized premixed flames and techniques for analyzing pattern-forming 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 run-through 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 L-systems 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 non-linear 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 program-related 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://b435-boas.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://www-rocq.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/e-notes/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://www-swiss.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.cut-the-knot.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, L-systems 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/e-notes/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.





English Spanish German French Dutch Italian Swedish Portuguese Danish Norwegian Finnish Russian Japanese American English Brazilian Portuguese


mathematics email











 






Inquiries about MATHEMATICS: Programs for Generating Fractals Math Events






...........