Open Directory - Science: Math: Chaos and Fractals
See also: This category in other languages: - An educational resource on the mathematical framework and formalism from the Yale University, covering the concept of self similarity. Includes topical examples, images, algorithms and software. - Founder of fractal geometry. Includes biography, vita, publications, interviews, and reviews. - Resource on the bicomplex generalization of the Mandelbrot set. Includes scientific publications, illustrations, news and downloads. - Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations. - Images generated by different commercial applications. Includes FAQs and tutorial. - Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references. - Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references. - Explains the basics. Includes gallery and free software for exploring different sets and singularities. - Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds. - Shows how brownian motion can model the shape of coastlines. Includes interactive demonstration and a collection of island set. - Easy to comprehend mathematical approach to understanding the significance of the applied study of fractals and attractors. Includes didactic examples and illustrations. - Foundation with purpose of educating people about the mathematical theory and the interconnectedness of complex systems. Includes mission statement, mathematical framework, gallery and contact. - Interactive online Mandelbrot and Julia generator. - Tutorial covering the different types of sets and attractors. Includes mathematical formulations, applets, programs, gallery and an art contest. [English, Russian, Ukrainian] - Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references. - Outlines a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references. - Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery. - Index and definition of different attractors. Includes images, plots and glossary. - Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain. - Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications. - Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references. - Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers. - Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code. - Collection of sets and attractors. Includes Mathematica source code, mathematical formulations and illustrations. - Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code. - Article about the basins of attraction for the Newton's method for finding roots of equations and their resulting representation in the complex plane. Includes mathematical framework and examples. - Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography. - Focuses on the visualization of three dimensional attractors. Includes formula derivations and image galleries. - Collection of videos made by rotation, zooming, and cycling through the four-dimensional Tetrabrot sets. Includes basics, mathematical formulations and descriptions. - Educational resource from the Boston University. Includes mathematical framework and formulation, animated illustrations and calculation spreadsheets. - Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations. - Explains the basics of fractals, Riemann Zeta, modular group gamma, Farey fractions and Minkowski question mark. Includes publications. - Collection of encyclopedia articles about self-similar geometric objects with both aesthetical and scientific uses. - Free encyclopedia article covering historical aspects and mathematical formulations. Includes two and three dimensional illustration sets.
