Julia sets visualize how brain dynamics change as parameters cross the Mandelbrot boundary — modeling the transition from stable healthy states to seizure onset.
Theoretical visualization
Healthy
Brain dynamics occupy a stable attractor far from the Mandelbrot boundary. The Julia set remains connected — a coherent, recursive structure.
Prediction variance
σ = 0.04
Low variance → committed attractor state. High variance → boundary proximity. STD of window predictions outperforms MEAN and MAX near transitions.