Critical Slowing Down — Resilience Indicator

Near a tipping point (saddle-node bifurcation), systems recover more slowly from perturbations — "critical slowing down." Rising variance and autocorrelation (AC-1) serve as early-warning indicators before regime shifts in ecosystems, climate, and finance.

dx = −x(x²−μ)dt + σdW | AC-1: autocorrelation at lag 1 of detrended time series