The principle of a rebound is that you lead a direction, then change your mind, either half way, or right at the end, in order to come back. Of course, you never "change your mind", you plan it all along and let your partner know about it in good time. How you do that? Simple. You lead the first direction, but as soon as your partner gets it, you lead the opposite. That way, by the time she gets to the first half of the beat, she already knows where you need her to be next.
Now, suppose you want to push this further - go one direction, then back, then change your mind again. Since the direction at the start of the movement is the same as at the end of the movement, there is no point leading the opposite direction at all, because nobody is going there. If you're in a car and you lead the backward direction, but in the end still go forward, how do you call that? A break! That's what you do here, also: you break the movement.
And you can break it more than once, during one movement. The point is that, while you release the break, you need to show your partner what comes next: another break, or a continuation. You do that in a variety of ways, two being the most notable in my humble opinion:
1. the freedom you give your partner to release the energy from the break and
2. the counter-position: you achieve the break with a counter-position, but the release is also a counter-position. The acceleration pedal is a force inflicted on the car, just as the break pedal - except you usually decide to follow-up on the acceleration pedal; however, if you decide not to, to push the two pedals alternately, you achieve a series of counter-positions which are quite clear to your partner. Something like the ABS.
But let's take the trick up a notch: reach an "American" position, then lead your partner a gancho to your forward leg and try to keep her there for a second, chained, gancho; then lead her an exit to a back ocho. ;)