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Lorenz attractor

The Lorenz attractor is, without a doubt, the emblematic figure of chaos theory and probably one of the most popular mathematical figures. It was at the beginning of the 60s when the mathematician Edward Lorenz discovered in his laboratory at the Massachusetts Institute of Technology in Boston that small variations in the initial conditions of a system of differential equations that simulated the state of the climate in a certain region, produced large divergences in the results. What he had discovered is what later became known as the "Butterfly Effect": a flap of a butterfly's wings would be enough to trigger a cyclone. The Lorenz attractor is the representation in space, through numerical methods, of the solution curves of the system of three differential equations with three variables studied by Lorenz.

This is a photograph showing the Lorenz attractor generated with a simple code from the free software Octave.

Photograph of the monitor taken with Nikon D5600, 55 mm.

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Uploaded on June 29, 2024