#7 - The Lorenz Mod 2 Attractor
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The Lorenz system is a system of ordinary differential equations first studied by Edward Lorenz. It is notable for having chaotic solutions for certain parameter values and initial conditions. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system which, when plotted, resemble a butterfly or figure eight. #1
The algorithm
lorenz-mod-2.js
const a = 0.9;
const b = 5.0;
const c = 9.9;
const d = 1.0;
const next = (x,y,z) => {
const dx = -a * x + y * y - z * z + a * c;
const dy = x * (y - b * z) + d;
const dz = -z + x * (b * y + z);
return {dx,dy,dz};
};