Article | REF: AF218 V1

Fractal Geometry

Author: Jean-Charles PINOLI

Publication date: October 10, 2017

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23.  The Lorenz attractor

Lorenz's physical system (or oscillator) is represented by a mathematical system of three ordinary differential equations, studied in 1963 as a three-dimensional mathematical model for terrestrial atmospheric convection (simplified with respect to the Navier-Stokes partial differential equations used in fluid mechanics):

where x, y and z are the three dynamic state variables that are functions only of time, t denotes time,...

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The Lorenz attractor
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