What precisely is a sub-flow of a G-flow (Hausdorff group G acting on a compact Hausdorff space X).

Question

I am starting some reading in topological dynamics, and have come across a 'minimal subflow' and 'the universal minimal subflow'. I understand portions of these definitions fairly well, but I have not been able to come across what the definition of a 'subflow' is in general. My best guess is that, for a Hausdorff group G acting on a compact Hausdorff space X, $\phi : G \times X \rightarrow X$, I should think a subflow is the top space X with the action of $H$ a subgroup of $G$ on X. However I am not sure; perhaps I should be taking subspaces of X instead.

I would appreciate if someone could point me to a reference with this definition.

Answer 1

Answer found in this paper on page 10:

In general, a (non-$\emptyset$) compact, $G$-invariant subset $Y \subset X$ defines a subflow by restricting the $G$-action to $Y$