Butterfly Effect Simulation
Solutions approximated by Euler's method
The Lorenz System
\[
\begin{aligned}
\frac{dx}{dt} &= \sigma (y - x) \\
\\
\frac{dy}{dt} &= x (\rho - z) - y \\
\\
\frac{dz}{dt} &= xy - \beta z
\end{aligned}
\]
Time: 0.00s