In 'Nonlinear Dynamics and Chaos' by S. Strogatz, a distinction is made between a stable manifold and basin of attraction of a fixed point in phase space: The stable manifold of a saddle point is a line, and the basin of attraction of a stable node is a plane. However, the definitions of the two terms are the same, namely: The set of initial conditions x0 such that x→x∠— as t→⁰ for a fixed point x∠—. Why is a distinction being made between the two terms?