Attractor
“A set of states toward which a system tends to evolve, for a wide variety of starting conditions of the system. System values that get close enough to the attractor values remain close even if slightly disturbed.”
Strange Attractor
“A type of attractor (a region or shape to which points are ‘pulled’ as the result of a certain process) that arises in certain non-linear systems and is characterized by its fractal structure.
Unlike regular attractors, which maybe points, close loops, or more complex but still regular shapes, a strange attractor is highly sensitive to small changes in the initial conditions, leading to chaotic behaviour within the system.”
Also see Third Attractor