Please ignore the definition part. Just determine which of the maps are minimal. The problem is from a dynamical systems class if that is of any help.

6. [10] A homeomorphism f : X - X is minimal if... Give the definition and determine which of the following maps are such: (a) an irrational rotation on a circle, (b) a rational rotation on a circle, (c) Arnold's cat map FL, (d) a linear expanding map of a circle Em