Lorenz Water Wheel
Malkus waterwheel — physical realization of the Lorenz equations
Inflow rate q
0.50
Damping K
0.50
Gravity g
1.00
Reset
ω
=
0.000
rad/s
Lorenz map: q→r, K→σ, g→b
The waterwheel's angular
velocity obeys:
dω/dt = −Kω + (g/r)·Σmᵢ sinθᵢ
Above a critical inflow, the
wheel enters chaotic reversal.
Phase portrait → Lorenz attractor.