2.1 Strange Attractors – The Chaos Hypertextbook
Strange attractors are an extension of iteration to two and three dimensions. The most famous of these is the Lorenz attractor — a mathematical experiment in weather prediction that uncovered a surprising link between weather, chaos, and fractals. The Lorenz attractor gave rise to the butterfly effect.
2.1 Strange Attractors Strange attractors rendered with Fractal & Chaotic Flows . Lorenz animations rendered with Gerry's Attraction . The next logical step is to extend the concepts of iterated systems to multiple-dimensional mappings. Given the results of the previous explorations one can assume that much of the behavior found in the quadratic map will have its analog in higher dimensions and thus we need not introduce an entirely new vocabulary. Let ƒ: ℝ n → ℝ n be a mapping of ordered n-tuples of real numbers on to themselves. Take the results and feed them back int
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