A point under rotation of a circle by the angle $2\pi\sqrt{2}$
Terms
| Term | This example | Why |
|---|---|---|
| recurrent | ✓ | The point’s orbit is recurrent, because it comes back arbitrarily close to where it started. |
| periodic | ✗ | The point’s orbit is not periodic, because the angle is an irrational multiple of a full turn, so the orbit does not return exactly. |