 10 Lessons in Fractals, Complex Patterns, and Chaos  Jon Lee; Math Forum Teacher Exchange
From the WrightConnection 8week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the realworld applications of math and science at WrightPatterson Air Force Base. The lessons, which emphasize
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 3D Strange Attractors and Similar Objects  Tim Stilson
A pictorial archive of "fsh" and polynomial strange attractors, chaosgame objects, and quaternion Julia sets, with links to books about chaos and strange attractors.
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 Adapting Science to Chaos  Chris Lang
A new mathematics and metaphysics specifically designed for chaos, complexity theory, and chaotic and complex dynamical systems. The Heisenburg uncertainty principle limits experimentation: optimizing science for chaotic and complex dynamical systems
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 Advanced Topics in Mathematics  Anthony Beckwith
Page for a high school course exploring fractals, the Global Positioning System, number theory, topology, chaos theory, and the history of mathematics. Syllabus and brief description of each topic.
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 Adventures in the MathZone  Ivars Peterson (MathTrek)
Ivars Peterson and his wife, Nancy Henderson, have written "a book that introduces children to a variety of ideas also of interest to today's mathematicians: knots, map coloring, Möbius strips and topology, prime numbers, chaos, fractals, and more. Our
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 alt.math.undergrad  Math Forum
An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions.
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 Annotated Bibliography of Software Resources (The Chaos Hypertextbook)  Glenn Elert
An extensive annotated list of software related to Elert's Chaos Hypertextbook. Major categories include: Chaos (Dynamical Systems); Iterated Function Systems (IFS); Lindenmayer Systems; Mandelbrot & Julia Sets; Music; Newton's Method; Terrain &
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 Applied Chaos Lab (ACL)  Dr. W. Ditto; Georgia Tech University
The ACL covers a broad range of analysis and application of chaotic behavior and related phenomena. Much of the research is done in conjunction with researchers at other universities and extends into biophysics and other interdisciplinary areas. Researchers
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 Arizona Center for Mathematical Sciences (ACMS)  University of Arizona, Tucson
An interdisciplinary research group that enjoys close ties with the Departments of Physics and Optical Sciences. The main goal of ACMS research is to understand nonlinear processes in natural phenomena. Research topics include nonlinear optics, fluids,
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 Barry G. Adams
Barry Adams is a professor of mathematics and computer science at Laurentian University in Ontario, Canada. His website includes many Java applets, including elementary numerical methods (i.e. Newton's Method), various examples of chaotic attractors,
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 Basic Concepts in Nonlinear Dynamics and Chaos  Keith Clayton
An introduction to chaos, dynamic systems, and fractals, with a glossary of important terms.
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 Books: Professional & Technical: Professional Science: Mathematics  Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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 Calculators OnLine Center: Part II  Mathematics  Martindale's Reference Desk
Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central
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 Center for Dynamical Systems and Nonlinear Studies  School of Mathematics, Georgia Tech
Established in September 1988 to strengthen existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. Specific topics emphasized are stability, nonlinear
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 Centre for Chaos And Turbulence Studies (CATS)  Hansen, Cvitanovic'; University of Copenhagen, Denmark
Conferences, preprints, and courses; people at the Centre; information about CATS and Neils Bohr Institute (NBI) computers; relevant links, an annual report, and forthcoming CATS seminars.
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 Chaos and the Solar System  Paul Trow
An essay on the historical development of chaos theory, especially as it relates to the solar system.
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 Chaos at Maryland  The Chaos Group, the University of Maryland at College Park
Research in chaotic dynamics: the theory of dimensions, fractal basin boundaries, chaotic scattering, controlling chaos, and more. Read research papers, link to Daniel P. Lathrop's Nonlinear Dynamics Lab and the Pattern Formation Laboratory, learn about
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 Chaoscope  Nicolas Desprez
Software to render 3D strange attractors such as IFS, Julia, Lorenz, and pickover. Browse the gallery, participate in the monthly contest, check the freeware's manual, learn from tutorials. Also available at http://www.btinternet.com/~ndesprez/.
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 Chaos Demonstrations  Michael Cross
Two versions each of three Java applets  an "old, stable" version and a "new, trial" version for the Period Doubling Route to Chaos, the Lorenz Attractor and the Butterfly Effect, and Chua's Circuit. Created for an introductory course on Chaos at Caltech
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 Chaos Downloads (Chaos: The Software)  Gordon, Rucker, Walker; Autodesk, Inc.
A shareware release of James Gleick's CHAOS: the Software. Both the complete executable and the source code are provided. The program runs under Windows as a fullscreen DOS session. Six modules include the Mandelbrot set, Pendulum and Magnets, Strange
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 Chaos, Dynamic Systems, and Fractal Geometry  Tyeler Quentmeyer, ThinkQuest 1996
An educational Web page whose purpose is to make learning many of the complicated theories and ideas behind the theory of chaos, dynamic systems, and fractal geometry easier and more fun. It approaches problems from many different angles and gives users
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 The Chaos Experience  ThinkQuest 96
An explanation of the basic principles behind chaos theory, and a demonstration of its use in everyday life.
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 Chaos, Fractals, and Arcadia  Robert L. Devaney; Dept. of Mathematics, Boston University
An animated description of some of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Introduction; Thomasina's Geometry of Irregular Forms; The Chaos Game; The Sierpinski Hexagon; Thomasina's Fern; Valentine's Grouse; Summary
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 The Chaos Game  Robert L. Devaney; Dept. of Mathematics, Boston University
One of the most interesting fractals arises from what Michael Barnsley has dubbed "The Chaos Game," which is played as follows. First pick three points at the vertices of a triangle. Color one of the vertices red, the second blue, and the third green.
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 Chaos Group  University of Maryland
Chaos is a multidisciplinary science. The members of the group are affiliated with diverse departments and institutions: Electrical Engineering; Mathematics; Physics; Physical Sciences and Technology; Institute for Plasma Research (IPR); Institute for
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 The Chaosgruppe  Sperl, Rast
A nonprofit scientific Association for direct support of current research projects and dialogue between faculties and interested amateurs about phenomena of nonlinear dynamics and pattern formation. The association produces a Who's Who Handbook of nonlinear
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 The Chaos Hypertextbook: Mathematics in the Age of the Computer  Glenn Elert
Formerly titled "Chaos, Fractals, Dimension": an illustrated paper submitted for the author's M.S. in secondary science education from Columbia. Contains chapters on: Mathematical Experiments (Iteration and Orbits, Orbit and Bifurcation Diagrams, Universality);
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 Chaos in the Classroom  Robert L. Devaney; Dept. of Mathematics, Boston University
One of the most interesting applications of technology in the mathematics classroom is the fact that it allows teachers to bring many new and exciting topics into the curriculum. In particular, technology lets teachers bring some topics of contemporary
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 Chaos: Making a New Science  James Gleick
An excerpt from the prologue of Gleick's book. "Where chaos begins, classical science stops. For as long as the world has had physicists inquiring into the laws of nature, it has suffered a special ignorance about disorder in the atmosphere, in the turbulent
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 Chaos (Mathematics Across the Curriculum)  Dartmouth College
Syllabus, related links, reading list, and student papers (access is restricted to the papers; you must have a password to view them) from a Dartmouth College course from winter, 1998. The course examined chaos from scientific, literary, historical and
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 The Chaos Metalink  Industrial Street Productions
A site designed as an ongoing resource for all those interested in Chaos science and things fractal. This site is sponsored by Images of Chaos, an Artwork for Television and Industrial Street Productions as a service to the Chaos community. Featured Sites;
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 Chaos Research Group (CRG)  University of Tennessee, Knoxville
The Chaos Research Group is an interdisciplinary team of faculty, students and engineering staff studying the nature of complex, nonlinear engineering systems to achieve a better understanding of the underlying physical processes, to develop better diagnostics,
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 Chaos Theory: complexity and chaos  Mindconnection
Books on chaos theory and links to relevant sites on the Web.
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 Chaos Under Control  David Peak, Michael Frame; Union College, Schenectady, NY
Material designed to support the text Chaos Under Control (W. H. Freeman, 1994): Macintosh software; course syllabi; six labs exploring natural fractals, iterated function systems, dimension computations, onedimensional dynamics, fractal analysis of
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 Chaotic Mixing due to Separatrix Crossing  John R. Cary; University of Colorado
An applet that shows the chaotic mixing caused by separatrix crossing, an example of a deterministic dynamical system that has chaotic motion  motion that cannot be predicted for long times.
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 Classical and Quantum Chaos, A Cyclist Treatise  Predrag Cvitanovic'
An online textbook on chaotic systems and dynamics, including exercises, solutions, and a guide to related literature. Read the book online in hyperlinked PDF format, or download it as a gzipped PostScript file. By the CATS cyclist team: Cvitanovic',
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 Combustion Chaos  Univ. of Houston, Univ. of Texas at San Antonio
An interdisciplinary research group studying the dynamics of pattern formation in burner stabilized premixed flames. Includes graphics, movies, and Java simulations of different patterns, explanations of models and experiments, and list of related publications;
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 Complexity International  An Electronic Journal of Complex Systems Research
A refereed journal for scientific papers dealing with any area of complex systems research. The theme of the journal is the field of complex systems, the generation of complex behaviour from the interaction of multiple parallel processes. Relevant topics
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 Complexity Online  University of New South Wales
A scientific information network about complex systems, structures and processes that involve nonlinearity. Topics in complexity include artificial life, cellular automata, chaos, evolutionary computation, fractals, genetic algorithms, neural networks
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 The Computational Beauty of Nature  Gary William Flake
Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation: a companion site for a book by Gary William Flake, "affectionately known as 'The Fish and Chips Book'." Contains applets and source code.
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 Continued Fractions and Chaos (Organic Mathematics Proceedings)  Robert M. Corless
From the Proceedings of the Organic Mathematics Workshop. This paper is meant for the reader who knows something about continued fractions, and wishes to know more about the theory of chaotic dynamical systems; it is also useful for the person who knows
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 Continued Fractions, Infinite Continued Fractions, and Iteration  Don Cohen, The Mathman
Ten different ways to solve a quadratic equation  an area of mathematics with applications to population increase, finding the square root of a number, chaos theory, and fractals. Sample problems from Chapter 8 (Solving Equations and Iteration) of Don
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 Cybernetics and Systems Theory  F. Heylighen; Principia Cybernetica Web
General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy
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 The Dance of Chance Science Museum Exhibit  Center for Polymer Studies, Boston University
An online version of an exhibit focused on the emergence of patterns in Nature from physical and biological processes that appear to be chaotic. Exhibit kiosks, many of which are fractals, include Music of the Heart, Frozen Lightning, Erosion, Viscous
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 Dancing Chaos  Ivars Peterson (MathTrek)
Music, dance, and chaos... The image on the computer screen resembles a delicate, stylized butterfly with translucent wings held lazily askew. It's called the Lorenz attractor, named for meteorologist Edward N. Lorenz of MIT, who in 1963 discovered this
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 Dave's Geometric Pix Gallery  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Mandelbrot and Julia sets, with a generation form and an Explorer on which you can point and click to get more refined images;
Newton Basins and a form to generate them; a page describing tiling the hyperbolic plane; some wallpaper groups; a gallery
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 Deep in the Jungles  Ivars Peterson (MathTrek)
Humans are predisposed to seeing order and meaning in a world that too often presents random choices and chaotic evidence. Random events sometimes get linked into a meaningful, though ultimately bogus, scenario... At the same time, the mathematics of
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 The Dynamical Systems and Technology Project at Boston University  Robert L. Devaney; Dept. of Mathematics
An NSFsponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process.
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 efg's Computer Lab: Fractals & Chaos Page  Earl F. Glynn II
Links to programs for creating fractal images and examples of chaos, and to the Glynn Function Study Center Gallery, with various views of the Julia set, z > z^1.50.2, where z is a complex number.
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 Emergence of Chaos (There is order in chaos)  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A demonstration of how chaos emerges following a change in a parameter, with an illustrative Java applet.
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