WOLFRAM|DEMONSTRATIONS PROJECT

Lorenz's Water Wheel

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view
attractor
experiment
t
15.3
R
4.34
κ
1.9
q
3.54
α
2.92
Θ
0.52
A
0
0.62
B
0
0.9
ω
0
1.45
In Lorenz's water wheel, equally spaced buckets hang in a circular array. Water pours into the top bucket and leaks out of each bucket at a fixed rate. The wheel behaves chaotically for certain choices of parameters, showing unpredictable changes in the direction of rotation. This behavior of this system is analogous to that of a Lorenz attractor.