I cannot say anything about the sleeping patterns but are you sure that those creative bursts aren't happening just because it is quiet, no distractions, etc.?
Don't think so, because these come during the day in the most unexpected moments (with or without distraction). My theory is that all creativity comes from the subconscious mind, and during nighttime it's the subconscious that takes over. Just before sleeping, a gate opens where rational consciousness and unconsciousness "coexist" and that's when new ideas can be retained. It's like that guy that tried near-death experiences so he could write good ideas down.
It's pretty blissful when the sound of the traffic evaporates. Always the best time for coding for me.