Reviewer B: I find the article very well written and I have only two reamrks.
1) In the section "Shadowing and structural stability" I don't understand the sentence "A pseudo-orbit is within "round-off error" $\delta$ for some $\delta>0$ that depends only on the system." If it refers to the following Shadowing lemma, please make it clear. You mean "from a genuine orbit"?
2) In the section on measure-theoretic properies you say "Ergodicity of this measure ..." I guess you mean "the volume measure" here. Please, say it.
I made some very minor edits in the body of the article. Otherwise, I think it is excellent.