A.3 Internet Resources

Appendices

The Chaos Hypertextbook™
© 1995-2003 by Glenn Elert
All Rights Reserved -- Fair Use Encouraged

chaos, dimension, faq, feigenbaum, fractals, image-compression, ifs, l-systems, mandelbrot-julia, music, newsgroups, newton, periodicals, personalities, science, strange-attractors, miscellaneous

A.3 Topical Index of Internet Resources

Chaos (Dynamical Systems)

Applied Chaos Lab, Georgia Tech
Center for Nonlinear Dynamics, University of Texas, Austin
Center for Nonlinear Studies, Los Alamos National Laboratory
Chaos, Complex Systems Virtual Library, Charles Sturt University
Chaos Center at the Visual Math Institute, Ralph Abraham
Chaos Club, Minnesota Tech Prep and Intermediate School District 287
Chaos Group, University of Maryland, College Park
Chaos Homepage, Andrew Ho
Chaos Metalink, Industrial Street Productions
Chaos Research Group, University of Tennessee, Knoxville
Chaos Theory and Fractal Phenomena, Manus J. Donahue III, Duke University
Chaotic Systems Textbook for PFP 96, University of Pennsylvania
Classical and Quantum Chaos (ChaosBook), Predrag Cvitanovic', Niels Bohr Institute
Computational Beauty of Nature, Gary William Flake, MIT Press
Dynamical Systems and Fractals Lecture Notes, David J. Wright, Oklahoma State University
Dynamical Systems and Technology Project, Robert L. Devaney, Boston University
Kelleen Farrell, a suite of web sites devoted to chaos and nonlinear dynamics
Mainz Nonlinear Dynamics Bibliography, Johannes Gutenberg-Universität
Meddling in the Affairs of Infinity (video feedback), Shohdy Nagib
Messy Futures and Global Brains, Gottfried Mayer-Kress, Santa Fe Institute
Nonlinear Dynamics, Complex Systems Virtual Library, Charles Sturt University
Nonlinear Dynamics, The Net Advance of Physics, Massachusetts Institute of Technology
Nonlinear Lab, Blair Fraser, University of Western Ontario
Nonlinear Systems Laboratory, Massachusetts Institute of Technology
Order Course, M. Casco Associates
Random Acts of Finance: Chaos Theory, Budget Practice, John Allen Paulos
Theory and Practice of Chaos, Dale Winter, University of Michigan

Dimension

Benoit Fractal Analysis Software, Trusoft International
Exploring Fractal Dimensions of Strictly Self-Similar Fractals, Mary Ann Connors, University of Massachusetts, Amherst
Fractal Dimension Calculator User's Guide, Paul Bourke, Mental Health Research Institute of Victoria
FracTop V0.2, Charles Sturt University (calculates fractal dimension of gif files)
HaRFA, Harmonic & Fractal Image Analyzer, Brno University Of Technology
What's the fractal dimension of...
Research done by my students in 2002.

FAQs (some of the many copies)

sci.fractals
- USA
- www.faqs.org
sci.nonlinear
- UK
- www.faqs.org

Feigenbaum Constants (Bifurcation Diagrams)

15 Most Famous Transcendental Numbers, Cliff Pickover, University of Wisconsin
Feigenbaum Constant, Steven Finch, MathCad
Feigenbaum Constant, Steven Finch, MathSoft
Period Doubling Route to Chaos, Michael Cross, California Institute of Technology

Fractals

About Fract-ED, Douglas Martin, EALSoft
Art Matrix Fractals, Homer Wilson Smith & Jane Elizabeth Staller
chaotic n-space network, Jon Camp & Ben Martin
Chopping Broccoli, Evan Glazer, Northfield Township High School
Fantastic Fractals, The Why Files, University of Wisconsin, Madison
Farewell to Chaos, Christian Ricordeau
Fractal Microscope, National Center for Supercomputing Applications
Fractals, Chaos, Paul Bourke, Mental Health Research Institute of Victoria
Fractals, Brad Johnson
Fractals, J.P. Louvet, Université Bordeaux
Fractals, Complex Systems Virtual Library, Charles Sturt University
Fractals, Mathematics Archives, University of Tennessee, Knoxville
Fractals, MathsNet, Anglia Multimedia
Fractals Lesson for Elementary and Middle School Students , Cynthia Lanius, Rice University
Fractals and Scale, David G. Green, Charles Sturt University
Geometry Junkyard: Fractals, David Eppstein, University of California, Irvine
Human Consciousness: Its Fractal Nature, John Allen Paulos
Paper-Folding Fractals, Joel Castellanos, Rice University

Image Compression

Altamira Group
Fractal Image Encoding, Yuval Fisher, University for California, San Diego
Iterated Function Systems for Visualization, Craig M. Wittenbrink, University of California, Santa Cruz
Iterated Systems, Inc.
Waterloo Fractal Compression Project, Edward R. Vrscay, University of Waterloo

Iterated Function Systems (IFS)

Fractals: Not by the Numbers, Gary Kerbaugh, East Carolina University
IFS Playground, Otmar Lendl, Universität Salzburg
IFS Studio 1.0, Zoltán Konyha, Budapest University of Technology and Economics
Interactive Fractal Generation Using Iterative Function Systems, Richard L. Bowman, Bridgewater College
Nonlinear Iterated Function Systems, Eduard Gröller, Vienna University of Technology

Lindenmayer Systems (L-Systems)

Java Fractal Tree, David Hanna
L-Systems, Complex Systems Virtual Library, Charles Sturt University
L-Systems Tutorial, David G. Green, Charles Sturt University
L-Systems Group at Trinity, Trinity College
L-Systems Software, Biological Modeling and Visualization, University of Calgary
Laurens Lapre's Lparser Links

Mandelbrot & Julia Sets

Area of the Mandelbrot set, David Eppstein, University of California, Irvine
Fractal Explorer: Mandelbrot and Julia sets, Fabio Cesari
Java Julia Set Generator, Mark McClure, Univerisity of North Carolina at Asheville
Mand.java, Bob Jamison, Java Boutique
Mandel, Ken Shirriff, Sun Microsystems
Mandelbrot Exhibition, Virtual Museum of Computing, Oxford University
Mandelbrot Explorer, Panagiotis Christias, National Technical University of Athens
Mandelbrot Set and Julia Sets, Binghamton University, State University of New York
Mandelbrot Set, Franceway
Mandelbrot Set, Simon Arthur
Mu-Ency: The Encyclopedia of the Mandelbrot Set, Robert Munafo
Vagfractals (MandelMaster), Martin Sandin

Music

Chaos, Self-Similarity, Musical Phrase and Form, Gerald Bennett, Swiss Center for Computer Music
Experiments with Fractal Music, Dave Sag

Newsgroups

alt.binaries.fractal-art
alt.binaries.pictures.fractals
alt.chaos not much about mathematics here
alt.fractals
alt.fractals.pictures
comp.theory.dynamic-sys
geometry.software.dynamic
sci.fractals
sci.nonlinear

Newton's Method

Méthode de Newton, Alain Goudey
Newton Basins, David E. Joyce, Clark University
Newton's Method, H. Edward Donley, Indiana University of Pennsylvania

Periodicals

Personalities

Ralph Abraham, University of California at Santa Cruz
Michael Barnsley, Georgia Institute of Technology
- Center for Dynamical Systems and Nonlinear Studies
- Fractal Geometry
- Iterated Systems, Inc.
William Burke, Lick Observatory
Michael Cross, California Institute of Technology
James Crutchfield, Santa Fe Institute
Predrag Cvitanovic, Neils Bohr Institute
Robert L. Devaney, Boston University
Adrien Douady, Université Claude Bernard Lyon 1
Doyne Farmer, Santa Fe Institute
- Prediction Company
Mitchell Feigenbaum, Rockefeller University
Joseph Ford, Georgia Institute of Technology
- Chaos Theory and Nonlinear Dynamics
Ronald Fox, Georgia Institute of Technology
Valter Franceschini, Università di Modena e Reggio Emilia
Leon Glass, McGill University
James Gleick
- Chaos: The Software
Ary Goldberger, Rey Laboratory for Nonlinear Dynamics in Medicine
Jerry Gollub, Haverford College
Hao Bai-Lin, Chinese Academy of Sciences
Pierre Hohenberg, Yale University
Roderick V. Jensen, Wesleyan University
Philip Holmes, Princeton University
John Hubbard, Cornell University
Oscar E. Lanford III, Eidgenössisch Technisch Hochschule Zürich
Albert Libchaber, Rockefeller University
Edward N. Lorenz, Massachusetts Institute of Technology
Arnold Mandell, Emory University
Philip Marcus, University of California, Berkeley
Robert May, University of Oxford
Ken Musgrave, Pandromeda
Norman Packard,
- Prediction Company
Heinz-Otto Peitgen, Universität Bremen
Clifford A. Pickover, University of Wisconsin, Madison
Ilya Prigogine, University of Texas at Austin
Przemyslaw Prusinkiewicz, University of Calgary
Peter H. Richter, Universität Bremen
Otto Rössler, Universität Tübingen
- Institut für Physikalische und Theoretische Chemie
David Ruelle, Institut des Hautes Etudes Scientifiques
- personnel scientifique de l'IHES
Dietmar Saupe, Universitaet Leipzig
Alexander Sharkovsky (a.k.a. Sarkovskii, Sarkovski), Ukrainian National Academy of Sciences
- dummy page, Sorry, this page is not yet constructed
Christopher Scholz, Lamont-Doherty Earth Observatory
Stephen Smale, University of California, Berkeley
Edward A. Spiegel, Columbia University
Clint Sprott, University of Wisconsin, Madison
Harry Swinney, University of Texas at Austin
- Center for Nonlinear Dynamics
Floris Takens, University of Groningen
Yoshisuke Ueda
- Kyoto University
Arthur T. Winfree, University of Arizona
James A. Yorke, University of Maryland, College Park

Science

A Biological Application of Fractal Analysis on the World Wide Web, Herbert F. Jelinek, Anthony P. Steinke and Peter Bowdren, Compexity International
Celestial Mechanics and the Stability Problem, Jeff Suzuki, Boston University
Centre for Chaos And Turbulence Studies (CATS), University of Copenhagen
Chaos and Mixing Group, Northwestern University
Chaotic Mixing due to Separatrix Crossing, John R. Cary, University of Colorado
Combustion Chaos Group, University of Texas at San Antonio
Contrôle de systèmes chaotiques, Vivien Mallet
Dance of Chance (Polymer Science), Boston University
Entropy in Ergodic Theory and Dynamical Systems, Chris Hillman, University of Washington
Facial beauty and fractal geometry, Jürgen Schmidhuber, Istituto Dalle Molle di Studi sull'Intelligenza Artificiale
Fractal and Chaotic Dynamics in the Brain, Chris C. King, University of Auckland
Fractal Clouds Info, Robert F. Cahalan, NASA-Goddard
Fractal Patterns of Seaweed Settlement, L.M. Emmerson & A.J. Roberts, University of Southern Queensland
Fire's spread looks fractal, Philip Ball, Nature
Hellenic Complex Systems Laboratory, Drama, Greece
Rey Laboratory for Nonlinear Dynamics in Medicine, Harvard University
Role of Chaotic Resonances in the Solar System, N. Murray & M. Holman, Nature Magazine
Society for Chaos Theory in Psychology and Life Sciences, Vanderbilt University
Solar System is in Chaos, Nigel Bunce and Jim Hunt, University of Guelph
Tilt-A-Whirl Chaos (I) (alternate url) and Tilt-A-Whirl Chaos (II) (alternate url) Ivars Peterson's MathTrek
Turbulence - Pattern Formation - Spatiotemporal Chaos, Nonlinear Dynamics and Fluid Dynamics Group, Cornell University
Xmorphia (Morphogenesis from a Reaction-Diffusion System), Roy Williams, California Institute of Technology

Strange Attractors

3D Strange Attractors and Similar Objects, Tim Stilson, Stanford University
Strange Attractor Search, Clint Sprott, University of Wisconsin
Duffing
- Duffing Attractor, Paul Bourke
Lorenz
- Butterfly Effect, Michael Cross, California Institute of Technology
- Edward N. Lorentz, Exploratorium
- Lorenz and Rössler Attractors, Jared Harris, Susquehanna University
- Lorenz Attractor, Paul Bourke
- Lorenz Attractor, Andrew Ho
- Lorenz Attractor, Hideyuki Suzuki, University of Tokyo
- Lorenz Attraktor, Dörte Haftendorn, Johanneum Lüneburg Informationssystem
- Lorenz System, Diego Stiveen Laverde, Universidad de los Andes
- Lyapunov Exponent and Dimension of the Lorenz Attractor, J. C. Sprott, University of Wisconsin, Madison
- My Ph.D. thesis: The Lorenz attractor exists, Warwick Tucker, Uppsala Universitet
Henon
- Henon Attractor, Robert M. Dickau, Swarthmore University
- Henon Attractor, Thinkquest
Rössler
- Rossler Attractor, Paul Bourke
- Rossler Attractor, Andrew Ho
- Lorenz and Rössler Attractors, Jared Harris, Susquehanna University

Miscellaneous

Art at the Edge of Chaos, Jonathan Mackenzie
AVirtualSpaceTimeTravelMachine, Jean-Francois Colonna, École Polytechnique
Chaos and Fractals, Joakim Linde, Chalmers Tekniska Högskola
Elliot Wave International, Stock Market Analysts
Fractal Gallery, Ken Keller
Fractal Logic: the art of science, the science of art, Steven Mason
Fractalus (image gallery)
Fractovia.Org: Fractal Art, Juan Luis
Gallery of Mathematics, Loughborough University
Harold Brochmann (online books)
Java Gallery of Interactive On-Line Geometry, University of Minnesota
Java Fractals, James Henstridge
Lexicon, Jim Crutchfield & Tom Humphrey, Exploratorium
Pandromeda (landscape & terrain modelling)
Review of Literature on Chaos, Fractals, and Non-Linear Dynamics, Steve Lee
Stock market timing (Is it real or is it bullshit?)

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