Time Series: Full vs Reduced
System: ẋ = x - x³ - y (slow), ε·ẏ = -y + x² (fast)
Adiabatic elimination: set ε=0 → y* = x² (slow manifold)
Reduced: ẋ = x - x³ - x²
Slow manifold (orange curve) attracts trajectories in O(ε) time, then dynamics slave to it.