2022-11-15

Above is an animation of a solution to the Lorenz equations, which are:

$\frac{\text{d} x}{\text{d} t}=\sigma(y-x)$

$\frac{\text{d} y}{\text{d} t}=x(\rho-z)-y$

$\frac{\text{d} z}{\text{d} t}=xy-\beta z$

The animation shows the solution for $\sigma=10,$ $\ \rho=28$ and $\beta=\frac{8}{3}$ and initial conditions of $x_0=0$, $y_0=1$ and $z_0=20$.

The code for the animation can be found here