basin of attraction
The set of all points in phase space that are under the influence of an attractor, or, more generally, the initial conditions of a system that evolve into the range of behavior allowed by the attractor. If one imagines a complex system as a sink, then the attractor can be considered the drain at the bottom, and the basin of attraction is the sink's basin.
Related category CHAOS, COMPLEXITY, AND DYNAMICAL SYSTEMS
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