Is there a word for the sensitivity of the initial conditions?
I've tried to illustrate what I mean by colouring an approximate measure of sensitivity of initial conditions in this picture. Meaning, if the initial condition is near the left asymptote (gray, slightly exaggerated), the path of a particle in the stream will be difficult to predict (chaotic), but it will be relatively easy everywhere else (disregarding potential turbulence on the right side).
So there will only be chaotic behaviour in some parts, and I was wondering if there was a word for this measure?
I believe you could say that the system has an unstable equilibrium at the point in question.