Lorenz Attractor
A kind of chaotic system which stems from a 2D fluid layer being warmed from below and cooled from above.
& \frac{\mathrm{d} x}{\mathrm{~d} t}=\sigma(y-x) \\ & \frac{\mathrm{d} y}{\mathrm{~d} t}=x(\rho-z)-y \\ & \frac{\mathrm{d} z}{\mathrm{~d} t}=x y-\beta z . \end{aligned}$$ ![[Bildschirmfoto 2023-05-30 um 16.09.23.png]] We can generate 3 [[Time Series Data|sequences]] from this system by looking at the three axes. ![[Bildschirmfoto 2023-05-30 um 16.11.16.png]]