chaos and not chaos

[Pjpic]

Is there a line between a system in chaos and one not in chaos? Alternatively, is there a transition zone? If such things do exits, what are they called?

[HallsofIvy]

You are really talking about the boundary of basins of attraction. And a basin of attraction can be "periodic", "quasi-periodic", or "chaotic" so your "transition zone between chaos and non-chaos" is a boundary between a chaotic basin of attraction and a basin of atraction that is not chaotic.