README.md

Lorenz Dynamical System

States: $X = [x, y, z]$

Parameters: $B = [\sigma, \rho, \beta]$

The Lorenz equations are as follows:

$$ \begin{aligned} \frac{d x}{d t} &= \rho ( y - x) \\ \frac{d y}{d t} &= x (\rho - z) - y \\ \frac{d z}{d t} &= x y - \beta z \end{aligned} $$

Plot

Set initial state and parameter in lorenz.py and run python lorenz.py after installing required packages.

Example