The Lorenz attractor: butterfly-shaped strange attractor of a three-variable ODE system
The Lorenz attractor is the following surprisingly simple system of three nonlinear ordinary differential equations:
dtdx=σ(y−x)
dtdy=x(ρ−z)−y
dtdz=xy−βz
This system exhibits chaotic behavior for parameters (σ,β,ρ) in a neighborhood of (10,8/3,28).
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