Hmmm... interesting. So there's a difference between the 2.Yes, pulsing on the flute is done basically by pushing air from the diaphragm, many times throughout the course of holding a note; instead of just plain holding the note you are sort of making it into many notes that run into each other without using the tongue. That is the best I can explain it.
As far as vibrato is concerned I am definitely not a fan of it! I like pulsing, but I dislike vibrato and have never done it. The difference between the two, as far as I can understand, is that vibrato involves slight pitch change.