2020-1-1

1 Jan 2020

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

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