Crazy tic tac bounce!? | EVERYDAY MYSTERIES

Well, it's been a year so you may not be reading these comments anymore, but in case you are...

For many years I've noticed that if you spin a bottle on it's bottom (so it is near vertical) you can get it to roll around the bottom so that it stays upright for a surprisingly long time. What is interesting to me is that there is a point where the angle and the spin rate is right so that it not only spins for a while but it seems to be unpredictable whether it eventually falls over, or stops upright.

My question, is this an example of a chaotic system? Can you say anything about the physics of this?

There is quite a lot of literature on the physics of spinning cylinders but they concentrate on cylinders that are fairly short. They mostly deal with the rate of rotation around the edge vs the rotation rate of the cylinder as a whole. I'm sure that is related, but I'm more interested in a taller cylinder, such as a bottle.

Thanks!