attractor -
(physics) a point in the ideal multidimensional phase space that is used to describe a system toward which the system tends to evolve regardless of the starting conditions of the system
attractor -
A set of points or states to which a dynamical systemevolves after a long enough time. That is, points that get close enough to the attractor remain close even if slightly disturbed.
Wikipedia
An attractor is a set towards which a dynamical system evolves over time. That is, points that get close enough to the attractor remain close even if slightly disturbed. Geometrically, an attractor can be a point, a curve, a manifold, or even a complicated set with a fractal structure known as a strange attractor.