Around here, it's my opinion that they begin to seek female companionship around the 27th of May. Peak of the rut I can't say 4 sure but tween there and mid June (which is when our season ends in parts of our state).
The good about the rut in our area is you see some big bruins that you might not be seeing. Then the down side is that if we don't get on them and kill them that night, often time we don't see them again. At the rut time of year I'm speaking.
Dober