basin of attraction
The basin of attraction is 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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