Lorenz Attractor

25 Jun 2021


The Lorenz attractor was found in 1963; it is a set of chaotic solutions for a system of ODEs.

x˙=σ(yz)y˙=x(ρz)yz˙=xyβz\begin{align*}\dot{x}&=\sigma(y - z)\\\dot{y}&=x(\rho - z) - y\\\dot{z}&=xy - \beta z\end{align*}

In the above demo, σ=10,ρ=28,β=83.\sigma = 10, \rho = 28, \beta = \frac{8}{3}.