To simplify things, apposition can be thought of as "parallelism".
It means two parts of a sentence are in parallel, playing the same function relative to the rest of the sentence.
So even if one of them is removed, the sentence still makes sense and remains grammatically correct.
For example:
- The principle, a thin man, started to speak. - "the principle" and "a thin man" are subjects in apposition.
- It pointed to one fact, his incompetence. - "one fact" and "his incompetence" are prepositional objects in apposition.
In both cases above, the sentence will still make sense even if one of the two apposite parts is removed.
In your example, "characteristic of rabbits" belongs to "that promiscuous abandon" with no relation to any other part of the sentence. It is not appositive at all, so placing a comma is not necessary.