| Directory > Science > Math > Chaos and Fractals > Chaos The Chaos Hypertextbook
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.
http://hypertextbook.com/chaos/
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A Farewell to Chaos
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.
http://www.quatuor.org/home.htm
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The Macsin Research Group
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.
http://www.cpdee.ufmg.br/~MACSIN/
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The Chaos Game
This site outlines Barnsley's Chaos Game, in which a random number generator is used to produce
various fractals.
http://www.geocities.com/ResearchTriangle/System/8956/Fractal/intro.htm
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Centre for Chaos Control & Synchronization
Focuses on fundamental research on and industrial applications of chaos control and
synchronization. Located at City University of Hong Kong.
http://www.ee.cityu.edu.hk/~cccs/
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Applied Chaos Group
Engineering research at McDermott Technology applied to industrial problems of nonlinear dynamics
and chaos, particularly on combustion systems.
http://www.mtiresearch.com/nld.html
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Nonlinear Sites
List of links to nonlinear, chaos and turbulence sites.
http://cnls.lanl.gov/~nbt/sites.html
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UK Nonlinear News
Quarterly newsletter of nonlinear research in the UK.
http://www.amsta.leeds.ac.uk/Applied/news.dir/index.html
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Applied Chaos Lab
Group studying nonlinear dynamics and chaos in physical and biophysical systems, with emphasis on
interdisciplinary collaboration and real-world applications. Part of the Laboratory for
Neuroengineering of the Georgia Tech/Emory Department of Biomedical Engineering.
http://www.neuro.gatech.edu/acl/
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Nonlinear Dynamics Bibliography
Searchable and downloadable bibliography of scientific papers on nonlinear dynamics and chaos.
http://www.uni-mainz.de/FB/Physik/Chaos/chaosbib.html
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Experimental Chaos Conference
Biennial meeting focusing on experimental work in nonlinear dynamics and chaos.
http://www.experimentalchaosconference.org
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Society for Nonlinear Dynamics and Econometrics
Organization promoting the use of nonlinear methods in economics and finance.
http://www-snde.rutgers.edu/SNDE/society/snde.html
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The Combustion Chaos Group
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.
http://vip.cs.utsa.edu/flames/overview.html
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A Beginner's Guide to 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.
http://www.yiin.ca/chaos/
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Lindenmayer Systems: Tutorials
Modelling of Plants and Fractals with L-systems. A brief collection of web references by Christian
Jacob.
http://www2.informatik.uni-erlangen.de/~jacob/LSystems/LSystems-Tutorials.html
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Feigenbaum Constants
Illustrates how to generate the constants through different cycles.
http://pauillac.inria.fr/algo/bsolve/constant/fgnbaum/fgnbaum.html
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Java Chaos Simulator
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.
http://www.classicalchaos.tk/
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A Route into Chaos: The Logistic Equation
An introduction to the sequence related functions used. Tells how to solve for the first fixed
points.
http://library.thinkquest.org/C005375/start.html
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Chaos Theory: A Brief Intro
A brief introduction to chaos theory, and an essay describing fractional dimensions. By Gregory
Rae and Dennis Courtney.
http://www.imho.com/grae/chaos/
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Chaos Theory and Education
Describes how chaos theory can be applied to education and teaching.
http://www.libraryreference.org/chaos.html
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Chaos Metalink
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.
http://www.industrialstreet.net/chaosmetalink/
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Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows
A.M. Selvam, Indian Institute of Tropical Meteorology.
http://www.geocities.com/CapeCanaveral/Lab/5833/prime3/Prime3.html
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Billiards and Chaos Theory
An interactive applet that shows billiard motion in various shaped tables.
http://serendip.brynmawr.edu/chaos/home.html
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Sequences, Bifurcations and Cycles
Diagram cycles for sequences and series. Six (6) parameters for visualization. Free. Applet and
programs for Windows, Mac OS9 and Mac OSX.
http://perso.wanadoo.fr/chavaignes/Cafe/SuiteCycles/SuiteCycles.html
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6th Experimental Chaos Conference
July 22- July 26, 2001. Potsdam, Germany.
http://www.agnld.uni-potsdam.de/~shw/Workshop/04_ECC6/index.html
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Society for Chaos Theory in Psychology and Life Sciences
Membership information, publications, meetings, tutorials, other resources.
http://www.societyforchaostheory.org/
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Climate Dynamics, Chaos and Quantum Mechanics
A theory of everything for chaos,quantum mechanics and gravity applicable to subatomic dynamics as
well as turbulent fluid flows.
http://www.geocities.com/CapeCanaveral/Lab/5833
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Fractional Sanity - Chaos Theory
A brief introduction to the theory and ideas behind chaos and fractals.
http://thor.prohosting.com/~nraak/chaostheory.htm
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Chaos Theory
An Introduction to Mathematical Chaos Theory and Fractal Geometry, by Manus J. Donahue III.
http://www.duke.edu/~mjd/chaos/chaos.html
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Crawling Chaos Labs
Research labs devoted to Chaos Mathematics and Fractal Topology in 3+ dimensions.
http://www.k4d4th.org/
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Visual Math Institute
Nonprofit research institute devoted to mathematics, dynamical systems theory, chaos theory,
applications, and education.
http://www.vismath.org/
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Chaos Theory without the Math
History of Chaos Theory and details of its inner workings without the math.
http://www.wfu.edu/~petrejh4/chaosind.htm
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Continued Fractions and Chaos
An activated text by Robert Corless.
http://www.cecm.sfu.ca/organics/papers/corless/index.html
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Nonlinear Dynamics
A comprehensive listing of nonlinear dynamics pages.
http://archives.math.utk.edu/topics/nonlinearDynamics.html
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Chaos in Chemical Systems
Presented by the Chemical Kinetics group, University of Leeds.
http://www.chem.leeds.ac.uk/chaos/Osc.html
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An experimental approach to nonlinear dynamics and chaos
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.
http://cnls.lanl.gov/People/nbt//Book/node1.html
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Chaos Research Group
Interdisciplinary group at the University of Tennessee studying deterministic chaos and nonlinear
dynamics in engineering systems.
http://www-chaos.engr.utk.edu/
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sci.nonlinear FAQ
Version 1.5 (Sept. 2000) of the Frequently Asked Questions document for the newsgroup
sci.nonlinear.
http://amath.colorado.edu/faculty/jdm/faq.html
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The Feigenbaum Fractal
Complete run-through of the Feigenbaum fractal.
http://www.stud.ntnu.no/~berland/math/feigenbaum/
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Classical And Quantum Chaos
Lecture notes on periodic orbits: A comprehensive webbook.
http://www.nbi.dk/ChaosBook/
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Emergence of Chaos
Demonstration of how chaos emerges following a change in a parameter.
http://www.cut-the-knot.com/blue/chaos.html
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CompLexicon
A cross-referenced guide to the concepts, terminology, and key figures of modern dynamics, the main
tools used to investigate complexity in nature.
http://www.exploratorium.edu/complexity/CompLexicon.html
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The Computational Beauty of Nature
Companion site for the book by Gary William Flake. Contains applets and source code for simulations
of fractals, chaos, complex systems, and adaptation.
http://mitpress.mit.edu/books/FLAOH/cbnhtml/
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Dynamical Systems and Technology Project
A project designed to help secondary school and college teachers of mathematics bring contemporary
topics in mathematics (chaos, fractals, dynamics) into the classroom.
http://math.bu.edu/DYSYS/
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Chaos: Making a New Science (James Gleick)
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)
http://www.around.com/chaos.html
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AUTO WWW Site
The official WWW site for AUTO, the Continuation and Bifurcation Software for Ordinary Differential
Equations. Topics include Bibliography, Documentation, and Download.
http://indy.cs.concordia.ca/auto/
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The Non-Linear Lab
An excellent page covering many aspects of chaos and appliations of nonlinear math. Uses
interactive Java applets to illustrate concepts and allows users to experiment.
http://www.apmaths.uwo.ca/~bfraser/nonlinearlab.html
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Adapting Science to Chaos and Complexity Theory, Chaotic and Complex Dynamical Systems
The Heisenburg uncertainty principle, given chaos and complexity theory, limits experimentation.
Optimizing science against chaotic and complex dynamical systems requires new math, based on the
logic of evolution, instead of on non-linear functions of rational measurement. Here's one
proposal--new mathematics and metaphysics specifically designed for chaos theory and complex
systems.
http://home.earthlink.net/~imaginationworks/chaos/index.htm
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Chaos at Maryland
Details on the University of Maryland's Chaos Group. Chaos papers, gallery, database, abstracts,
software, and book recommendations.
http://www-chaos.umd.edu/
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Online Chaos Course
A 5-part interactive and nontechnical introduction to chaos physics and chaotic motion in classical
and quantum mechanics.
http://order.ph.utexas.edu/chaos/
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