Lorenz’s Water Mill

There is a spinning wheel. There is a small hole in the bottom of the bucket. When the water falls from the faucet above, the spinning wheel rotates with the water flowing down.
Let's predict what direction the spinning wheel will go to.

It is easy to think that a spinning wheel is going to go in one direction anyway. But if you think a bit, you can see that it is not so simple.
Depending on the amount of water coming from the faucet, the rotation direction of the spinning wheel changes.

  1. If the amount of water is small, the aberration hardly moves.
  2. As the amount of water increases, the spinning wheel starts slowly turning in either direction.
  3. As the amount of water continues to increase, the spinning wheel rotates faster and reaches the other side before the water in the bucket rushes off. Because of this, the rotation speed is lowered again and eventually the direction of rotation changes. In this way, the direction of rotation changes regularly.
  4. Increasing the quantity further increases the complexity of the spinning of the spinning wheel, which eventually begins to turn freely. In other words, it will be in the state of chaos.