The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.
Basin of Attraction
See also
Wada BasinExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Basin of Attraction." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BasinofAttraction.html