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 Chaos and Fractals - ThinkQuest 1996 Chaos is an advanced field of mathematics that involves the study of dynamical systems or systems in motion. Chaos Theory consists of the mathematical proofs and theories that attempt to describe processes in motion. Think of any mathematical system that changes over time, such as the weather, the stock market, or the genetic distribution of a population. Tour of Chaos: Basic Concepts (Iteration, Orbits, Attraction and Repulsion, Graphical Analysis, Bifurcations); Examples (Cantor Set, Sierpenski Triangle, Mandelbrot Set, Julia Set); Java Applets Involving Chaos (Mandelbrot/Julia Set Explorer, Mandelbrot Escape Sequences). more>> random.org - Mads Haahr Generate random numbers on the Internet by using a web form (comparable to throwing dice), randomized sequences (lottery tickets), raw random bytes, virtual coin flips, or bitmaps. All numbers are tested statistically and the results available in real-time. Read the introduction to randomness, random numbers, and how random.org generates random numbers. Source code available. more>> Topical Index of Internet Resources (The Chaos Hypertextbook) - Glenn Elert An extensive list of links to sites related to Elert's Chaos Hypertextbook. Major categories include: Chaos (Dynamical Systems); Dimension; FAQs; Feigenbaum Constants (Bifurcation Diagrams); Fractals; Image Compression; Iterated Function Systems (IFS); Lindenmayer Systems (L-Systems); Logistic Equation; Mandelbrot & Julia Sets; Music: Chaotic & Fractal; Newsgroups (Green Eggs Report); Newton's Method; Periodicals; Personalities; Science; Software Archives (Java, Macintosh); Strange Attractors; Terrain & Landscape Modelling; Miscellaneous. more>>
All Sites - 140 items found, showing 1 to 50
 10 Lessons in Fractals, Complex Patterns, and Chaos - Jon Lee; Math Forum Teacher Exchange From the Wright-Connection 8-week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the real-world applications of math and science at Wright-Patterson Air Force Base. The lessons, which emphasize ...more>> 3D Strange Attractors and Similar Objects - Tim Stilson A pictorial archive of "fsh" and polynomial strange attractors, chaos-game objects, and quaternion Julia sets, with links to books about chaos and strange attractors. ...more>> 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 ...more>> 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. ...more>> 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 ...more>> 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. ...more>> 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 & ...more>> 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 ...more>> 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, ...more>> 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, ...more>> Basic Concepts in Nonlinear Dynamics and Chaos - Keith Clayton An introduction to chaos, dynamic systems, and fractals, with a glossary of important terms. ...more>> 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; ...more>> Calculators On-Line 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 ...more>> 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 ...more>> 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. ...more>> Chaos and the Solar System - Paul Trow An essay on the historical development of chaos theory, especially as it relates to the solar system. ...more>> 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 ...more>> 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/. ...more>> 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 ...more>> 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 full-screen DOS session. Six modules include the Mandelbrot set, Pendulum and Magnets, Strange ...more>> 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 ...more>> The Chaos Experience - ThinkQuest 96 An explanation of the basic principles behind chaos theory, and a demonstration of its use in everyday life. ...more>> 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 ...more>> 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. ...more>> 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 ...more>> The Chaosgruppe - Sperl, Rast A non-profit 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 ...more>> 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); ...more>> 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 ...more>> 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 ...more>> 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 ...more>> 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; ...more>> 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, ...more>> Chaos Theory: complexity and chaos - Mindconnection Books on chaos theory and links to relevant sites on the Web. ...more>> 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, one-dimensional dynamics, fractal analysis of ...more>> 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. ...more>> 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', ...more>> 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; ...more>> 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 ...more>> 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. ...more>> 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 ...more>> 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 ...more>> 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 ...more>> 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 ...more>> 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 ...more>> 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 ...more>> 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 ...more>> The Dynamical Systems and Technology Project at Boston University - Robert L. Devaney; Dept. of Mathematics An NSF-sponsored 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. ...more>> 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^1.5-0.2, where z is a complex number. ...more>> 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. ...more>> Exploring Chaos and Fractals - RMIT Publishing An electronic textbook on CD-ROM which covers the subject of chaos theory and fractal geometry and includes text, worksheets, sound, video, and animation. Course material is presented with multiple entry points and themes, and can be used within a single ...more>>
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