Bro why are you looking at this?  You expect to obtain some useful ass information?  Well let me give you something REAL fucking useful.  Here, read this:

. Separatrix Separation
A pendulum in motion can either swing from side to side or turn in a continuous circle. The point at which it goes from one type of motion to the other is called the separatrix, and this can be calculated in most simple situations. When the pendulum is prodded at an almost constant rate though, the mathematics falls apart. Is there an equation that can describe that kind of separatrix?