It is shown that nonlinear system with multiple attractors commonly require very accurate initial conditions for the reliable prediction of final states. A scaling exponent for the final-state-uncertain phase space volume dependence on uncertainty in initial conditions is defined and related to the fractal dimension of basin boundaries.
Grebogi, C., McDonald, S. W., Ott, E., & Yorke, J. A. (1983). Final state sensitivity: An obstruction to predictability. Physics Letters A, 99(9), 415-418. https://doi.org/10.1016/0375-9601(83)90945-3