The attractor basin (basin of attraction) encompasses all initial conditions whose trajectories converge to a specific attractor.
Mathematically, B(A) = {x ∈ X : lim_{t→∞} d(φ(x,t), A) = 0}.
In social terms, these basins represent zones of influence - the range of conditions from which a society will naturally evolve toward particular organizational forms. The size and depth of these basins determine both system resilience and transformation potential.