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Chaos and Fractals
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24 sites in Chaos and Fractals
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Research group at the INRIA national research center, France. Includes research details, publications and software.
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Explains how quantum jumps generate new family of fractals on spherical canvas. Includes graphics in several formats, mathematical framework and bibliography.
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Introduction to chaos, attractors and dynamic systems theory. Includes mathematical formulation, images and references.
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Weblog about the mathematical background of different sets and attractors in the complex plane. Includes downloadable generator and gallery.
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Gallery of chaotic and complex systems and attractors from the University of Zaragoza, Spain.
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Images generated by different commercial applications. Includes FAQs and tutorial.
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Explains the basics of Sierpinski systems and other sets. Includes interactive example programs with source code.
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Scientific paper of the University of the Basque Country, Spain, addressing the mathematical aspects of multi layer colorization. Includes examples and references.
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Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references.
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Shows how to create fractal mountains, three-dimensional Mandelbrot and Julia sets, convex, stellated and polyhedra. Includes pictures, plots and mathematical formulations.
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Scientific publication about the anatomy of different sets and attractors and chaotic dynamics. Includes animated samples, articles and mathematical formulations.
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Discusses how differently the iterations behave depending on which portions the coefficients are plucked from. Includes basics, concept, formulations and references.
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Explains a general systems theory for chaos, quantum mechanics and gravity as applied to weather patterns. Includes illustrations, scientific publications and references.
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Index and definition of different attractors. Includes images, plots and glossary.
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Online navigator for various sets and attractors from the Clark University. Includes background and a short course on complex numbers.
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Interactive online Mandelbrot and Julia generator.
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Software and information resource on the Mandelbrot set, geometrical explosion sets, and attractors. Includes diagrams and mathematical backgrounds.
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Analysis of the degree of gappiness of different sets. Includes mathematical aspects, results and publications.
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Tutorial for beginners covering the Mandelbrot and Julia sets, as well as four-dimensional sets. Includes interactive generators and gallery.
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Collection of sets, attractors and related material for free distribution. Includes large categorized index of software, information and links.
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Discusses the mathematical theory of Kleinian groups. Includes illustrations, examples, formalism and program source code.
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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.
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Inspiring and educating people about Fractals, Chaos Theory and the interconnectedness of complex systems.
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Explains the unusual concept of partial dimensions and shows comparisons to a dot, line, plane and cube.
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