A. Appendices

A.3 Internet Resources

A collection of links to web resources on chaos, fractals, and dimension. Untouched since the first decade of the twenty first century. A dusty relic? A moment in time preserved forever? You decide.

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

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
• Chua's Circuit, Valentin Siderskiy
• 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…
  • Bread
  • Broccoli
  • Leaves
  • The Coast of Maine
  • Stock Price Fluctuations
  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
• 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

• Complexity International
• Nonlinear Science Today/Journal of Nonlinear Science
• International Journal of Chaos Theory and Applications

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
• 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
• 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?)